Solving Inequalities Review Jeopardy

Distributing and Combining Like Terms

100

-3(x +4) + x ≥ 6

x ≤ -9

200

-(9 + x) + 4x ≥ 9

x ≥ 6

300

167 < 6+7(2 - 7x)

x < -3

400

5(6+3x) + 7 ≥ 127

x ≥ 6

500

3(x + 1) - 4x ≥ -5

x ≤ 8

Distributing twice

100

5(x+6)-6(5x-8) > 3

x < 3

200

4(3x - 1) + 7(3 -+2x) ≤ 77

x ≤ 2

300

8(1 + 3x) + 6(2 + 2x) ≥ 20

x ≥ 0

400

5(8x + 6) + 6(8x + 6) > -22

x > -1

500

6(-5x + 1) -3(4x - 12) < 0

x > 1

Distributing a negative

100

 -(3x + 4) > -52

x < 16

200

-(24x-18) ≥ -102

x ≥ -5

300

-(9x + 27) < 45

x > -8

400

-(18 +2x) ≤ 28

x ≥ -23

500

-(5x + 10) > 15

x< -5

Combining like terms

100

-4x - 6x + 3 ≥ 23

x ≤ -2

200

-2x + 5x ≤ 6

x ≤ 2

300

3x - 5 - 2x ≥ 4

x ≥ 9

400

-x - 5x + 9 < -3

x > 2

500

10x - 4x + 6 ≥ 24

x ≥ 3

Distributing

100

-2(x - 5) ≥ 8

x ≤ 1

200

2(7 - 2x) > 10

x < 1

300

5(7 - 2x) ≥ -15

x ≤ 5

400

-4(x + 6) < 8

x > -8

500

9(2 + 3x) < 72

x < 2