Question

determinati eleementele urmatoarelor multimi
B={x apartine luiN /8 pe x-2 apartineN

Answer 1

x-2∈{1,2,4,8}
x-2=1
x=3
x-2=2
x=4
x-2=4
x=6
x-2=8
x=10
B={3,4,6,10}

Answer 2

8/(x-2) ∈ N ↔ (x-2) ∈ divizorilor lui 8 : { 1, 2, 4, 8}
x - 2 = 1    x = 3
x - 2 = 2    x = 4
x - 2 = 4    x = 6
x - 2 = 8    x = 10    ⇒ B = {3,4,6,10}