11.14 U4L1: Introduction to Inequalities

​Practice U4L1:

Intro to Inequalities​

11/14 Math 7 Lab​

Fill in the Blanks

An inequality is a mathematical statement that

two mathematical statements.

​Inequality Symbols and their Meanings

Multiple Select

Select all of the words/phrases that can be used to represent this symbol: $$<$$  

• Greater than or equal to

• Less than or equal to

• Fewer than

• Less than

• More than

Multiple Select

Select all of the words/phrases that can be used to represent this symbol: $$>$$  

• Greater than or equal to

• Less than or equal to

• Fewer than

• Less than

• More than

Multiple Select

Select all of the words/phrases that can be used to represent this symbol: $$\le$$  

• At least

• Less than or equal to

• At most

• Greater than or equal to

• Maximum

Multiple Select

Select all of the words/phrases that can be used to represent this symbol: $$\ge$$  

• At least

• Less than or equal to

• At most

• Greater than or equal to

• Minimum

Multiple Choice

An equation has

• one solution

• infinite solutions

Multiple Choice

An inequality has

• one solution

• infinite solutions

Multiple Select

Select all of the possible solutions to the inequality $$x\le7$$  

• 9

• -2

• 7

• 0

Multiple Select

Select all of the possible solutions to the inequality $$x\le-2$$  

• 9

• -2

• 7

• 0

Draw

Determine whether or not each number is a solution to the inequality $$x\le-5$$  

Open Ended

What are three possible solutions to the following situation?

A child must be at most 48 inches tall to ride on the swings.

​Use the completed example below to model your work.

​

​Define a variable and write an inequality to describe each situation.

Draw

Define the variable and write an inequality to describe each situation.

Multiple Choice

Select the inequality to model the situation below.

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20

• x < 20

• x ≤ 20

• x ≥ 20

Multiple Choice

Select the inequality to model the situation below.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

• x > 15

• x < 15

• x ≤ 15

• x ≥ 15

​Think Back: Graphing Inequalities on a Number Line

​

Multiple Select

When you graph an inequality, you used an open circle when you use which symbols? (Select all that apply)

• $$\le$$  

• $$<$$  

• $$\ge$$  

• $$>$$  

Multiple Select

When you graph an inequality, you used a closed circle when you use which symbols? (Select all that apply)

• $$\le$$  

• $$<$$  

• $$\ge$$  

• $$>$$  

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

Multiple Choice

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Multiple Choice

Pick the correct letter for:

x < 6

• A

• B

• C

• D

Multiple Choice

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D

Draw

Sum It Up!

Multiple Choice

Which of the following is true about the number of solutions to an equation and the number of solutions to an inequality?

• An equation has one solution, and an inequality has one solution.

• An equation has one solution, while an inequality has infinite solutions.

• An equation has infinite solutions, and an inequality has infinite solutions.

• An equation has infinite solutions, while an inequality has one solution.