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

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

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

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

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