Let A and B be subsets of a universal set U. Show that A ⊆ B if and only if B ⊆ A.
if A ⊆ B then A=A∩BA=A\cap BA=A∩B
if B ⊆ A then B=A∩BB=A\cap BB=A∩B
so, A=B=A∩BA=B=A\cap BA=B=A∩B
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