Test for the community property of Union and intersection of the sets

1.	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» 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

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»

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

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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 } .​

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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 } .