Let 𝐴 and 𝐵 be sets such that 𝐴 ∪ 𝐵 ⊆ 𝐵 and 𝐵 ⊆ 𝐴 . Draw the corresponding Venn
diagram
Since "B\\subseteq A,A\\cup B=A" . Then from the first assertion "A\\subseteq B" , from which A=B.
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