Inequality Graph Explanation

Oct 13, 2025 by wbrum.org 14 views

Introduction

In this article, we will explore the solution to the inequality 2x - 4 > x + 12. We will start by isolating the variable x, then determine the possible values of x that satisfy the inequality. Finally, we will graph the solution to visualize the range of values that x can take.

Step 1: Isolate the Variable x

To solve the inequality, we need to isolate the variable x on one side of the inequality sign. We can start by subtracting x from both sides of the inequality:

2x - x - 4 > x - x + 12

This simplifies to:

x - 4 > 12

Next, we can add 4 to both sides of the inequality to get:

x > 16

Step 2: Determine the Possible Values of x

Now that we have isolated the variable x, we can determine the possible values of x that satisfy the inequality. Since x > 16, we know that x can take on any value greater than 16. This means that x can be 17, 18, 19, 20, and so on.

Step 3: Graph the Solution

To visualize the solution, we can graph the inequality on a number line. We will start by marking the point 16 on the number line, since x must be greater than 16. Then, we will draw an open circle at the point 16 to indicate that x cannot be equal to 16.

Next, we will draw an arrow to the right of the point 16 to indicate that x can take on any value greater than 16. This will give us a visual representation of the solution to the inequality.

Graphing the Inequality

Here is a graph of the inequality x > 16:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Conclusion

In this article, we solved the inequality 2x - 4 > x + 12 by isolating the variable x and determining the possible values of x that satisfy the inequality. We then graphed the solution to visualize the range of values that x can take. The solution to the inequality is x > 16, which means that x can be any value greater than 16.

Final Answer

The final answer to the inequality 2x - 4 > x + 12 is x > 16.

Possible Values of x

The possible values of x are all real numbers greater than 16. This can be represented as:

x ∈ (16, ∞)

Graphing the Inequality

Here is a graph of the inequality x > 16:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Solution

The inequality solution is x > 16. This means that x can be any real number greater than 16.

Inequality Graph Explanation

The inequality graph is a number line with an open circle at the point 16. An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Inequality Graph Representation

The inequality graph can be represented as:

x ∈ (16, ∞)

This means that x can be any real number greater than 16.

Inequality Graph Visual

Here is a visual representation of the inequality graph:

The point 16 is marked on the number line with an open circle.
An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Inequality Graph Explanation

The inequality graph is a visual representation of the solution to

Introduction

In this article, we will answer some frequently asked questions about the inequality 2x - 4 > x + 12. We will cover topics such as solving the inequality, graphing the solution, and determining the possible values of x.

Q: What is the solution to the inequality 2x - 4 > x + 12?

A: The solution to the inequality 2x - 4 > x + 12 is x > 16.

Q: How do I solve the inequality 2x - 4 > x + 12?

A: To solve the inequality 2x - 4 > x + 12, you need to isolate the variable x on one side of the inequality sign. You can start by subtracting x from both sides of the inequality:

2x - x - 4 > x - x + 12

This simplifies to:

x - 4 > 12

Next, you can add 4 to both sides of the inequality to get:

x > 16

Q: What is the graph of the inequality x > 16?

A: The graph of the inequality x > 16 is a number line with an open circle at the point 16. An arrow is drawn to the right of the point 16 to indicate that x can take on any value greater than 16.

Q: What are the possible values of x that satisfy the inequality x > 16?

A: The possible values of x that satisfy the inequality x > 16 are all real numbers greater than 16. This can be represented as:

x ∈ (16, ∞)

Q: How do I determine the possible values of x that satisfy the inequality x > 16?

A: To determine the possible values of x that satisfy the inequality x > 16, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph?

A: The inequality graph is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I graph the inequality x > 16?

A: To graph the inequality x > 16, you need to mark the point 16 on the number line with an open circle. Then, you need to draw an arrow to the right of the point 16 to indicate that x can take on any value greater than 16.

Q: What is the final answer to the inequality 2x - 4 > x + 12?

A: The final answer to the inequality 2x - 4 > x + 12 is x > 16.

Q: What are the possible values of x that satisfy the inequality 2x - 4 > x + 12?

A: The possible values of x that satisfy the inequality 2x - 4 > x + 12 are all real numbers greater than 16. This can be represented as:

x ∈ (16, ∞)

Q: How do I determine the possible values of x that satisfy the inequality 2x - 4 > x + 12?

A: To determine the possible values of x that satisfy the inequality 2x - 4 > x + 12, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality solution?

A: The inequality solution is x > 16. This means that x can be any real number greater than 16.

Q: How do I determine the inequality solution?

A: To determine the inequality solution, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph explanation?

A: The inequality graph explanation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph explanation?

A: To determine the inequality graph explanation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph representation?

A: The inequality graph representation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph representation?

A: To determine the inequality graph representation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph visual?

A: The inequality graph visual is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph visual?

A: To determine the inequality graph visual, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph explanation?

A: The inequality graph explanation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph explanation?

A: To determine the inequality graph explanation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph representation?

A: The inequality graph representation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph representation?

A: To determine the inequality graph representation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph visual?

A: The inequality graph visual is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph visual?

A: To determine the inequality graph visual, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph explanation?

A: The inequality graph explanation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph explanation?

A: To determine the inequality graph explanation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph representation?

A: The inequality graph representation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph representation?

A: To determine the inequality graph representation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph visual?

A: The inequality graph visual is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph visual?

A: To determine the inequality graph visual, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph explanation?

A: The inequality graph explanation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph explanation?

A: To determine the inequality graph explanation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph representation?

A: The inequality graph representation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph representation?

A: To determine the inequality graph representation, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph visual?

A: The inequality graph visual is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph visual?

A: To determine the inequality graph visual, you need to consider all real numbers greater than 16. This includes numbers such as 17, 18, 19, 20, and so on.

Q: What is the inequality graph explanation?

A: The inequality graph explanation is a visual representation of the solution to the inequality. It shows that x can take on any value greater than 16.

Q: How do I determine the inequality graph explanation?

A: To determine the inequality graph explanation, you need to consider all real numbers greater than 16. This includes numbers such as