Question

Test for the community property of Union and intersection of the sets : (I) P= {x: x is a real number between 2 and 7 and Q = { x: x is an irrational number between 2 and 7 } .​

Answer 1

Answer:

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