Question
For any two sets A and B, prove that.
$\text{B}\subset\text{A}\cup\text{B}.$

Answer

Let $\text{x}\in\text{B}.$ Then
$\Rightarrow\text{x}\in\text{B}\cup\text{A}$
$\Rightarrow\text{x}\in\text{A}\cup\text{B}$
$\therefore\text{B}\subset(\text{A}\cup\text{B}).$

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