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If R is the set of real numbers and S is the set of rational numbers, then what is R – S?

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in Mathematics - Class 11 by (789k points)
If R is the set of real numbers and S is the set of rational numbers, then what is R – S?

(a) Set of integers

(b) Set of whole numbers

(c) Set of irrational numbers

(d) Set of complex numbers

The question was asked in examination.

My question comes from Operation on Sets-2 topic in section Sets of Mathematics – Class 11

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Best answer
The correct option is (c) Set of irrational numbers

The best I can explain: There are two categories in real numbers which are rational and irrational. The real number which is not rational is irrational so, R-S denotes the set of irrational numbers.

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