Equation and Inequalities

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 17

• x ≤ 10

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

6x + 10 > 5x - 12

• x > 2

• x < -2

• x < -22

• x > -22

x - 14 < -8

• A

• B

• C

• D

• A.

• B.

• C.

• D.

The cost to rent a rug cleaner for a day is $25 plus $15 per hour.

Write an inequality that can be used to show how many hours (x) you can rent the rug cleaner for so that the charges will be less than $130.

Mathematical Equivalence

OFF

What inequality does the number line graph represent?

• 5x + 3 ≥ 18

• 3x + 5 > 10

• 2x - 8 < 14

• 4x - 9 ≤ 3

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number