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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.

- 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.

- 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

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

- 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

-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