Solve and Graph Inequalities in One Variable

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Pick the correct letter for:

6 > x

• A

• B

• C

• D

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8

Does the sign need to flip when solving?
-2x ≥ 22

• YES

• NO

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

The sum of a number and 8 is greater than 12

• n + 8 > 12

• n + 8 < 12

• n < 8 + 12

• n + 12 > 8

Solve the inequality:

3(x – 1) ≥ –9

• x ≥ –2

• x ≥ 2

• x ≤ –2

• x ≤ 2