SOLUTION: Hello I'm in Algebra II/Trig and we are reviewing absolute value equations, I forgot how to do these and I need help. Thanks for taking your time for this: 1/7|4z+5|+2>5 I wo

Question 898344: Hello I'm in Algebra II/Trig and we are reviewing absolute value equations, I forgot how to do these and I need help. Thanks for taking your time for this:
1/7|4z+5|+2>5
I worked on some of the question but I am not sure if it is correct:
1/7+4z+7>5
(7/1)1/7+4z>-2(7/1)
4z>-14
z=-7/2
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Part of your inequality as given is unclear. I will assume you intend the fraction as a separate factor:

Simplify up to the absolute value function.

Now solve for each of two different cases.

4z+5 may be positive or negative or zero.

:

CAREFUL HERE....

Put together, the solution for z is

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