SOLUTION: 2-|-x|=5
-|x-2|>1
Algebra.Com
Question 368285: 2-|-x|=5
-|x-2|>1
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
2-|-x|=5. This equation is the same as 2-|x|=5, or -|x|=3, after transposition. The solution set of this equation is the empty set, because -|x| is non-positive, and so can't be equal to 3.
Similarly for -|x-2|>1: a non-positive quantity can't be greater than a positive quantity, so the solution set is the empty set.
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