Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSets2 Marks
Question
For any two sets A and B, show that the following statements are equevalent: $\text{A}\cup\text{B}=\text{B}.$
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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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