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Sets — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSets3 Marks
Question
For any two sets A and B, prove that. $\text{A}\cap\text{B}\subset\text{A}.$
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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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