Question

A={xEZ*|3 (2|2x-3|-5)-11 <16} ajutor

Answer 1

A={x∈ Z*|3(2|2x-3|-5)-11<16}
3(2|2x-3|-5)-11<16
3(2|2x-3|-5)<27
2|2x-3|-5<9
2|2x-3|<14
|2x-3|<7
-7<2x-3<7
-4<2x< 10
-2<x<5
x∈Z*⇒ S:x ∈ {-1,1,2,3,4}