Question-72

Question-72

Prove that if A1 , A2 , …. , An and B1 , B2 … Bn are sets such that Aj \subseteq Bj for j = 1, 2 ,…, n, then

\bigcup_{j=1}^{n}A_{j}\subseteq \bigcup_{j=1}^{n}B_{j}.

Complete the basis step.

 

Solution

A1 \subseteqB1 imploes that \bigcup_{j=1}^{k+1}A_{j}\subseteq \bigcup_{j=1}^{k+1}B_{j} .  because the union of one set is itself.

 

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