Solving Equations Absolute Value and Inequalities

Solve.
3|d - 4| = 12

• d = -8 or d = 0

• no solution

• d = 8 or d = 0

• d = 40 or d = 32

Solve: |x+5| < 9

• -14 < x < 4

• x > -14 or x < 4

• -4 < x < 4

• x > -4 or x < 14

Solve |x| + 7 > 16

• -9 < x < 9

• x > 9 or x < -9

• x > 9 or x < -9

• -9 ≤ x < 9

2x < -3x + 15

• x > 3

• x > 15

• x < 3

• x < 15

v>5 or v<-5 v≥5 or v≤-5 v>-5 or v<5 all real numbers

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers

• A

• B

• C

• D

What is the first step in solving

|x + 4| - 8 > 2

• Subtract 2 on both sides

• Set up two inequalities

• Divide 8 on both sides

• Add 8 on both sides

• A

• B

• C

• D

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

Solve for v.

• v ≥ -6 and v ≤ -4

• v > -6 and v < -4

• v ≥ -6 or v ≤ -4

• v > -6 or v < -4