Question

Rezolvati in multimea nr intregi nenule inecuatia: | x-2| (7-| 2x-1 | ) >0 PLS DAU COROANA

Answer 1

|x-2|(7-|2x-1|)>0; x∈Z*

i) |x-2| >0
 x-2≠0 ⇒ x≠2
ii)7-|2x-1|>0 
  -|2x-1|>-7
    |2x-1|<7
-7<2x-1<7
-6<2x <8
-3< x <4
S:x∈{-2,-1,1,3}