Posted by **Tanya** on Wednesday, October 6, 2010 at 6:26pm.

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?

- Math-Algebra -
**Zach**, Wednesday, October 6, 2010 at 6:40pm
3|x+5|<= 6

|3x+15|<= 6

-15 -15

|3x| <= -9

/3 /3

x <= -3

Yes, you are correct.

- Math-Algebra-Please check -
**Tanya**, Wednesday, October 6, 2010 at 6:57pm
Thank you-I appreciate it- I posted another- could you just check it to make sure I got this concept.

- Math-Algebra-Please check -
**Reiny**, Wednesday, October 6, 2010 at 7:06pm
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

- Math-Algebra-Please check -
**Tanya**, Wednesday, October 6, 2010 at 7:20pm
Thank you

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