Multi-Step Inequalities Compound Inequalities

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -3 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• 1 ≤ x ≤ 3

-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4

• x > -5 and x ≤ 4

• x ≥ -5 or x < 4

• x ≥ -5 and x < 4

-4x + 14 ≤ 54

• x ≥ - 10

• x ≥ 17

• x ≤ -10

• x ≤ 10

Tags

CCSS.7.EE.B.4B

3x - 5 > -26

• x < -7

• x > 7

• x > -7

• x < 7

Tags

CCSS.7.EE.B.4B

6(n + 2) < -72

• n < -14

• n < -10

• n < 35/3

• n > -14

Tags

CCSS.7.EE.B.4B

6x + 10 > 5x - 12

• x > 2

• x < -22

• x < -2

• x > -22

5z - 2 - 2z < 13

• z > 5

• z > 1

• z < 5

• z < 1

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2

Graph the solution set of the inequality.

–4n + 1 > –23

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Tags

CCSS.7.EE.B.4B

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3