Question

Rezolvati in multimea Z inecuatiile:
a) |2x-7|<9
b)2|2x+3|-9<5​

Answer 1

Explicație pas cu pas:

|2x-7|<9 =>

-9<2x-7<9 =>

-2<2x<16 =>

-1<x<8 x€Z =>x€{0,1,2,3,4,5,6,7}

2|2x+3|-9<5 =>

2|2x+3|<14 =>

|2x-3|<7 =>

-7<2x-3<7 =>

-4<2x<10 =>

-2<x<5 x€Z => x€{-1,0,1,2,3,4}