Question

Solve the inequality. Show your work.
|4r + 8| ≥ 32

Answer 1

Okay here are the steps to solving this inequality:

First- Break down the problem into these 2 equations

4r + 8 ≥ 32 → - (4r + 8) ≥ 32

Second- Solve the 1st equation: 4r + 8 ≥ 32

r ≥ 6

Third- Solve the 2nd equation: - (4r + 8) ≥ 32

r ≤ -10

Lastly- Collect all solutions

r ≥ 6 and r ≤ -10

Answer 2

Okay here are the steps to solving this inequality:

First- Break down the problem into these 2 equations

4r + 8 ≥ 32 → - (4r + 8) ≥ 32

Second- Solve the 1st equation: 4r + 8 ≥ 32

r ≥ 6

Third- Solve the 2nd equation: - (4r + 8) ≥ 32

r ≤ -10

Lastly- Collect all solutions

r ≥ 6 and r ≤ -10

Answer 3

|4r + 8| ≥ 32

4r + 8 ≥ 32 or 4r + 8 ≤ -32 inside of absolute value could be + or -

4r ≥ 24 or 4r ≤ -40 subtracted 8 from both sides

r ≥ 6 or r ≤ -10 divided both sides by 4

Graph: ←---------------- -10 6 ------------------→

Interval Notation: (-∞, -10] U [6, ∞)