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Real Numbers

If Z represen...

Question

If $Z$ represents a set of all Integers and $T$ is a set of all Irrational numbers, $R$ is the set of all Real numbers, then select the correct representation of these sets.

A

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B

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C

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Solution

The correct option is B
We know that Integers are all rational numbers.
And rational numbers and irrationals numbers have no element in common.
Or set of rational number and irrational numbers are disjoint sets.
$\Rightarrow$ Set of integers and irrational numbers will be disjoint as well.
Hence the correct representation is:

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