Homework Help: Math-Algebra-Please check

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 - 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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