Question

PLEASE HELP AS SOON AS POSSIBLE!!!!!!!!!!!!!!!!!! |r+3| ≥7 solve the inequality (please show work and steps )

Answer 1

|r+3| = (r+3) when r ≥ -3 so for r ≥ -3
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3) when r < -3 so for r < -3
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
The answer to this question is r ≤ -10, r ≥ 4

Answer 2

So the solution would be:
|r+3| = (r+3)
r + 3 ≥ 7
r ≥ 4
|r+3| = -(r+3)
-(r + 3) ≥ 7
r + 3 ≤ -7
r ≤ -10
So the answer is r ≤ -10, r ≥ 4