SOLUTION: Find the solution for the inequality: │7w+3│-12 ≥ 12

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Question 1086969: Find the solution for the inequality: │7w+3│-12 ≥ 12
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Let X=7w+3.

abs%28X%29-12%3E=12
abs%28X%29%3E=12%2B12
abs%28X%29%3E=24

Either X>=0 OR X<0.
-
system%28X%3E=24%2Cor%2C-X%3E=24%29
Solve for both cases. Test each solution.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Find the solution for the inequality: │7w+3│-12 ≥ 12 
Correct answer: highlight_green%28matrix%281%2C4%2C+w+%3E=+3%2C+%22%2C%22%2C+or%2C+w+%3C=+-+27%2F7%29%29