Question

What is the solution of 3 times the absolute value of x + 5 <= 6
I think the answer is x <= - 3 and x >= -7
If I'm not right, could you tell me why?

Answer 1

3|x+5|<= 6
|3x+15|<= 6
-15 -15
|3x| <= -9
/3 /3
x <= -3

Yes, you are correct.

Answer 2

Thank you-I appreciate it- I posted another- could you just check it to make sure I got this concept.

Answer 3

3|x+5| ≤ 6
|x+5| ≤ 2

x+5 ≤ 2 AND -x-5 ≤ 2
x ≤ -3 AND -x ≤ 7
x ≤ -3 AND x ≥ -7
-7 ≤ x ≤ -3

Answer 4

Thank you