Multistep Inequalities and Equations

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

Solve:

6x+10>5x-12

USE PAPER TO DO YOUR WORK!!

• x>2

• x<2

• x<-22

• x>-22

Solve the inequality and graph on a number line:

14 x - 3 ≤ -3 (The red arrows show the graphs.)

• A) x ≤ 0

• B) x ≤ 2

• x > 0

• x ≥ -2

3y+6+4y-7=-8

• y=-1

• y=-8

• y=1

• y=7

6 ( 2n + 5 ) = 66

• 3

• 5.08

• 8

• 432

Does the following equation have one solution, no solutions, or infinitely many solutions? 4 - 3x = -3(x - 5) - 7

• One

• None

• Infinite

• This cannot be determined

Solve and graph the inequality.

77 ≤ 5 + 8n

• A

• B

• C

• D

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

Solve the inequality.

-3n + 8 < 26

• n < - 6

• n > - 6

• n ≤ -10

• n > - 8

Solve and graph the inequality.

-31 ≤ 8m +9

• A

• B

• C

• D