Solve Linear Inequalities

Which inequality symbol has a graph with an open (empty) circle?

• <

• ≤

• Divide by -2 on each side. 

•   Divide by -2 and reverse the inequality sign.

• Add 2 to each side. 

•     Divide by 2 on each side. 

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

3(x-2)<2(x+9)

• x<24

• x>-24

• x<12

• x>18

Solve 28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

Solve:
7(x + 3) < 5x + 13

• x > -4

• x < 17

• x < -4

• x > -17

Solve 4x + 3 < -1

• x < -1

• x < 1

• x < 2

• x > 4

Match the graph with its inequality.

• a < 11

• a > 11

• a ≥ 11

• a ≤ 11

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number