Question

Test for the commutative property of union and intersection of sets ,P={x:x is a real number between 2 and 7} , {x:x is an irrational number between 2 and 7}

Answer 1

P = {x : x is a real number between 2 & 7}

Q = {x : x is an irrational no.between 2 & 7}

We know that P contains all the rational numbers between 2 and 7.

And PUQ and QUP each of them contain all the real numbers which are between 2 and 7.

Here Q is the proper subset of P

PnQ = QnP = Q

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