Question

test for the commutative property of union and intersecting of the sets.
P={x:x is a real between 2 and 7}
Q={x:x is an irrational numbers between 2 and 7}

Answer 1

I hope it helps you
by Ahalya

Answer 2

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

If there is any confusion please leave a comment below.