Compound Inequalities and Multi-Step Inequalities

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

6x - 4 ≥ 26

• x ≥ 3.67

• x ≥ 5

• x < 5

• x ≤ 5

Tags

CCSS.7.EE.B.4B

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5

• x < -5 and x > 5

• x < -5 or x > 5 

• x > -5 and x < 5 

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Solve:

• A

• B

• C

• D

• A

• B

• C

• D