SOLUTION: 12<|-2x+6/7|+3/7

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Question 455208: 12<|-2x+6/7|+3/7
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
=12-3%2F7%3Cabs%28-2x%2B6%2F7%29=>abs%286%2F7-2x%29%3E81%2F7 the last inequality is
equivalent to two inequalities:1)6%2F7-2x%3C-81%2F7, and, 2)6%2F7-2x%3E81%2F7, we
solve each of them separately.
1)-2x%3C-81%2F7-6%2F7=>x%3E87%2F14
2)-2x%3E81%2F7-6%2F7=>x%3C-75%2F14
Answer:The solution set is {x:x>87/14 or x<-75/14}