Question

Fie A= { xE R/ |2x-1| < 5 }. Determinati A intersectat cu Z ???????

Answer 1

-5 < 2x-1 < 5 /+1
-5+1 < 2x < 5+1
-4 < 2x < 6/ :2
-4:2 < x < 6:2
-2 < x < 3⇒x∈ ( -2;3)⇒ A = (-2;3)⇒ A n Z = {-1,0,1,2}