Question-72

Sir SagarMarch 31, 20140

Question-72

Prove that if A₁ , A₂ , …. , A_n and B₁ , B₂ … B_n are sets such that A_j $\subseteq$ B_j 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 $\subseteq$ B₁imploes 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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