Q5 of 86 Page 26

Show that if A ⊂ B, then C – B ⊂ C – A.

It is given in the question that,

A ⊂ B


We have to show that: C – B ⊂ C – A


Let us now assume


∴



So,


∴ C – B ⊂ C – A


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Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B = C.

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Show that the following four conditions are equivalent:

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Is it true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B)? Justify your answer.