Problem 9 (#2.2.16).Let A and B be sets. Show correctly that a) (A∩B)⊆A. b) A⊆(A∪B). c) A\B⊆A. d) A∩(B\A) = ∅. e) A∪(B\A) = A∪B.

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Problem 9 (#2.2.16).Let A and B be sets. Show correctly that
a) (A∩B)⊆A.
b) A⊆(A∪B).
c) A\B⊆A.
d) A∩(B\A) = ∅.
e) A∪(B\A) = A∪B.
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