1.

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

Answer»

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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