Q5 of 162 Page 1

For any two sets A and B, show that the following statements are equivalent:

A ∪ B = B

We need to show that 3 ⇒ 4


Assume that A ∪ B = B


To show: A ∩ B = A.


∵A ∪ B = B


∴ A⊂ B and so A ∩ B = A.


So (3) ⇒ (4) is true.


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