Answer to Question #314582 in Discrete Mathematics for bhupendra

Question

Let 𝐴 and 𝐵 be sets such that 𝐴 ∪ 𝐵 ⊆ 𝐵 and 𝐵 ⊆ 𝐴 . Draw the corresponding Venn

diagram

Answer 1

Since $B\subseteq A,A\cup B=A$ . Then from the first assertion $A\subseteq B$ , from which A=B.