Question

determinati elementele multimilor A,B,A intersectat cu B . unde A={x apartine lui R ,| |x-3|=<5, si B={x apartine lui Z | |x|< sau egal cu 3

Answer 1

A={x∈R| |x-3|≤5}
⇒|x-3|≤5
-5≤x-3≤5          |+3
-2≤x≤8
x∈[-2, 8]

B={x∈Z | |x|≤3}
⇒|x|≤3
-3≤x≤3
pt ca x∈Z ⇒x∈{-3,-2,-1,0,1,2,3}

⇒A∩B={-2,-1,0,1,2,3}