Question

Sa se determine multimile:A(x∈R|-2
B(x∈R||x-2|≤3)
Sa se efectueze:AΠ(intersectia)B
A-B

Answer 1

Ix-2I≤3
caz I
x-2≤3
x≤3+2
x≤5
x∈(-α,5]
caz II
x-2≤-3
x≤-3+2
x≤-1
x∈(-α,-1]
x∈[1,5]
B={1,2,3,4,5}
AintersectatB={1,2,3,4,5}