Solving/interpreting linear inequalities in one variable

3g > -12

(Consider: do you divide both sides by the same negative number?)

• g > -4

• g < -4

What is the name of this symbol?

>

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to

The cost of a camera at different stores is shown in the table. Kayla doesn’t want to spend more than $400 on a camera. Use the inequality c < $400, where c represents the cost of a camera to determine which stores she could buy from.

• Camera Castle - Cost $389.50

• Digital Dreams - Cost $401.75

• Photo Palace - Cost $422.85

• greater than

• greater than or less than

• greater than or equal to

• I have no idea

 $\le$  

• less than

• greater than

• less than or equal to

• greater than or equal to

The next town is at least 40 miles away.

• greater than

• less than

• greater than or equal to

• less than or equal to

r ÷ -7 > -84

• r < 12

• r > 12

• r < -12

• r > -12

Solve the inequality 2x ≤ 8 and plot the solution set on the number line.

• x > 4

• x ≥ 8

• x = 2

• x ≤ 4

-36 < 4p

• p > -9

• p < -9

• p > -144

• p < -144