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Dear student, Real number is a set consisting of both rational numbers and irrational numbers => rational numbers and irrational numbers are subsets of 'Real number' (1). Every irrational number is a real number ? Yes . Because every irrational number is contained in the set of 'real number' . (2). Every real number is a rational number ? No . Because some real numbers are irrational numbers. For example , √5 is a real number but not a rational number. Regards

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