If A and B are two sets such that A , then find:A - Vidyadip

Question

If A and B are two sets such that $\text{A}\subset\text{B},$ then find:$\text{A}\cup\text{B}$

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Answer

$\text{A}\cup\text{B}$ denotes intersection of the two sets A and B, which consists of elements which are common to both A and B.
Since $\text{A}\subset\text{B,}$ every dement of A is already an element of B.
$\therefore\text{A}\cap\text{B}=\text{B}.$

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