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How can you represent the concept of having more than $2?

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In this lesson you will learn to represent real-world scenarios involving inequalities with 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

The highlighted numbers are part of the solution set of the inequality.

x could equal 2.3, 5, 10, 13½, 30, 500…

Write an inequality and represent it on a number line.

Jessie needs to set the freezer temperature so the ice cubes do not melt. What temperature should the freezer be set at?

Let x = freezer temperature

Jessie needs to set the freezer temperature so the ice cubes do not melt.

At what temperatures would ice melt?

At what temperatures does water freeze?

x equals more than 1 number – inequality

Jessie needs to set the freezer temperature so the ice cubes do not melt. At what temperature should the freezer be set?

x has to be 32ºF or less!

Use ≤ or ≥ since it can equal 32ºF

Jessie needs to set the freezer temperature so the ice cubes do not melt. At what temperature should the freezer be set?

x ≤32

29

30

31

32

33

In this lesson you have learned to represent real-world scenarios involving inequalities with a number line.

Write an inequality and represent it on a number line.

- To ride the Batman roller coaster you must be at least 54 inches. How tall can you be to ride the roller coaster?

Given an inequality, create an equivalent representation in word problem form.

- 1. x > -5
- 2. 7 < x
- 3. 12 ≤ x
- 4. x ≥-2

Inequalities can be represented with words, symbols, and number lines. Use a stack of inequality cards. For each of these inequalities, construct the other two equivalent representations.

Justin needs to earn a score of 80 on his next math test to earn a B for the semester. Which inequality shows the grades that will allow Justin to earn a B?

A

B

C

D

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