Solving Inequalities in One Variable

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

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

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?

• <, >

• ≤, ≥ 

In an equation or inequality, you want to get the variable...

• on one side

• to disappear

• isolated (by itself)

Pick the correct letter for:

6 > x

• A

• B

• C

• D

Match:
You must be at least 48 inches tall to ride the bumper cars.

• h < 48

• h > 48

• h ≤ 48

• h ≥ 48

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

The sum of a number and 8 is greater than 12

• n + 8 > 12

• n + 8 < 12

• n < 8 + 12

• n + 12 > 8