# Inequalities - PowerPoint PPT Presentation

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Inequalities. Because “ I<3U ” does not mean “ I love you. ” Mathematically, it means I less than 3 of you. What is an inequality?. Mathematical sentence that compares quantities. To solve an inequality you have to find values for the variable that make the sentence true.

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Inequalities

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## Inequalities

Because “I<3U” does not mean “I love you.” Mathematically, it means I less than 3 of you.

### What is an inequality?

• Mathematical sentence that compares quantities.

• To solve an inequality you have to find values for the variable that make the sentence true.

• Inequalities do not contain equal signs.

### Translating sentences to inequalities

• TIPS

• Use a variable to represent the unknown

• Look for key words to determine the inequality symbol you will use.

• Example 1:

We don’t know what the number is. We will use x to represent the unknown number.

is greater than

2.

A number

x > 2

### More Examples

We don’t know what the number is. We will use x to represent the number.

• Example 2:

• Example 3:

The maximum

value of a number

is 28.

x ≤ 28

We don’t know what the number is. We will use x to represent the number.

A number is

greater than or equal to

four.

x ≥ 4

### Graphing inequalities

• Steps:

• Draw a number line and place the number in the problem in the middle of the number line.

• Fill in numbers on the number line.

• Put a circle on the number 2 on the number line.

• For this example, you leave the circle open (not colored in).

• Shade in the part of the number line that shows the numbers that are greater than 2.

• Example 1:

x > 2

0 1 2 3 4

### Examples with Graphing Inequalities

-Both of these examples mean that the variable can be equal to the number in the inequality.

-When you graph these inequalities, color in the circle.

Example 2:

x ≤ 28

Example 3:

x ≥ 4