Multi-Step Inequalities Compound Inequalities

Which graph matches the inequality
k < 3?

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

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

4x - 3 < -1x + 12

• x > 3

• x < 3

• x < 5

• x > 5

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

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12

• -4 ≤ y ≤ -12

• y ≤ 4 or y ≥ -12

• -12 ≤ x ≤ 4

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

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0