Absolute Value Inequalities

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:
|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:
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

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• no solution

• a> -1/6 or a< -5/6

• a>1/2 or a< -3/2

• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• no solution

• x > 2 or x < -22

• -22 < x < 2

• all real numbers

Tags

CCSS.HSA.REI.B.3

• n > 1 or n < -7

• n > -1 or n < -7

• -7 < n < -1

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• r > 11/4 or r < 9/4

• r > 5 or r ≤ 0

• r > 5 or r < 0

• r < -5 or r > 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3