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Sets — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSets3 Marks
Question
For any two sets A and B, prove that.
$\text{A}\cap\text{B}\subset\text{A}.$
✓

Answer

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

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