SOLUTION: Solve the inequality: |4-3w| (greater than or equal to sign _>) 8 Paul says that w= -3 is a reasonable solution to the inequality, explain why Paul thinks that but also why he i

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Question 874907: Solve the inequality: |4-3w| (greater than or equal to sign _>) 8
Paul says that w= -3 is a reasonable solution to the inequality, explain why Paul thinks that but also why he is incorrect in this situation.
Thank you guys so much for taking the time to help me.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
abs%284-3w%29%3E=8
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4-3w%3E=0 means abs%284-3w%29=4-3w%3E=8;
-3w%3E=8-4
-3w%3E=4
w%3C=-4%2F3
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4-3w%3C0 means abs%284-3w%29=3w-4%3E=8;
3w%3E=8%2B4
3w%3E=12
w%3E=12%2F3
w%3E=4
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The original inequality was solved but your question was not answered. You can very likely find why Paul gave the answer which he did.

This is a very open-ended problem.