# How do you use a number line to represent an inequality? - PowerPoint PPT Presentation

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How do you use a number line to represent an inequality?. x > 4 or x ≤ -9. In this lesson you will learn how to represent the solution set of an inequality by creating a number line.

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How do you use a number line to represent an inequality?

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How do you use a number line to represent an inequality?

x > 4 or x ≤ -9

In this lesson you will learn how to represent the solution set of an inequality by creating a number line.

A variable is a letter or symbol that represents an unknown number or set of numbers. For example, x or ★ could be used to represent unknown numbers.

An inequality has more than 1 solution.

represents:

An open circle

> greater than

< less than

represents:

A closed circle

≥greater than or equal to

≤ less than or equal to

Using the incorrect circle to represent the inequality symbol.

Remember:

≥, ≤

>, <

closed circle

open

circle

Create a number line to represent the solution set of x > 2.

• Write it in words.

2. Identify the type of circle needed.

Create a number line to represent the solution set of x > 2.

• X is greater than 2.

2. Open Circle because x ≠ 2.

3. Shade values greater than 2.

Create a number line to represent the solution set of x > 2.

The shaded portion includes all numbers greater than 2!

In this lesson you have learned how to represent the solution set of an inequality by creating a number line.

Create a number line to represent the solution set of x ≤-4.

• Write the inequality for each number line.

Given an inequality on a number line, identify five values that are in the solution set and five values that are not in the solution set.

Create a number line to represent the solution set of x ≤-15.

Which number line represents x > 2?

A

B

C

D