1.

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

Answer»

Finally, now we need to show 4 ⇒ 1. 

So, assume A ∩ B = A. 

To show: A ⊂ B 

∵A ∩ B = A, therefore A⊂B, and so (4) 

⇒ (1) is true.



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