Solve absolute value inequalities Review

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10
• x > 6 or x < -14
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|2x - 1| = 7

• x = -3 or x = 4
• x = 4
• x = 4 or x = -4
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve.
-5|x - 4| > -20

• x < 8 and x > 0
• x > 8 or x < 0
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
-5|x - 4| > 20

• x < 8 and x > 0
• x > 8 or x < 0
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve.
3|d - 4| = 12

• d = -8 or d = 0
• no solution
• d = 8 or d = 0
• d = 40 or d = 32

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which interval notation is represented by the graph?

• $\left(-20,\ -10\right)$

• $\left[-20,\ -10\right]$

• $\left(-20,\ -10\right]$

• $\left[-20,\ -10\right)$

Tags

CCSS.HSA.REI.D.12