Question

The intersection of the set of rational numbers and the set of irrational numbers is {0}?

TRUE OR FALSE

Answer 1

Answer:

false

Step-by-step explanation:

false is Ans ok.....

Answer 2

False.

By the definition ,

now,

I = R − Q, where R = ( −∞ , ∞ ) is the set of all the real numbers.

But the set of the Rational & Irrational numbers are disjoint,

ie. they have an empty intersection,

            I∪Q=R              &              I∩Q=ϕ

• The set of the Rational numbers & the set of the Irrational numbers are mutually exclusive i.e. number from one set say Rational numbers Q can't be the member of another set that is Irrational numbers Z & vice-versa.

• In the set theory, we say that the intersection of Q &  Z is ϕ ,
• The null set or Q∩Z=ϕ .

The intersection of the set of rational numbers and the set of irrational numbers is ϕ

Thus the answer is False.

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