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Sets — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSets2 Marks
Question
For any two sets A and B, show that the following statements are equevalent:
$\text{A}\cup\text{B}=\text{B}.$
✓

Answer

We new show that (3) ⇒ (4)
So assume that $\text{A }\cup\text{B}=\text{B}$
To show: $\text{A}\cap\text{B}=\text{A}$
$\because\text{A}\cup\text{B}=\text{B}$
$\text{A}\subset\text{B}$ and so $\text{A}\cap\text{B}=\text{A}$
So (3) ⇒ (4) is true.

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