You can
put this solution on YOUR website!7|z+6|+8<=57
You are close, but you are missing a key point... first, manipulate the equation to get the absolute value alone on one side:
7|z+6|<=49
|z+6|<=7
Given the inequality |x|<= a, the solution is always of the form –a <=x<= a. So now you can get rid of those pesky absolute value symbols and rewrite the equation like this:
This is now something that you can deal with... solve for z by subtracting 6 from each term and you are done.
So you can see how you only got this problem half right. You can confirm the answer by plugging it into the original inequality.
