Which of the following statement is incorrect?

Rational and irrational numbers together make up real numbers

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All irrational numbers are real numbers

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All real numbers are irrational

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Every point on the number line represents a unique real number

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Solution

The correct option is C
All real numbers are irrational

Every irrational number is a real number but real numbers comprise of rational as well as irrational numbers. Moreover, any point on a number line represents a definite real number.

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Similar questions

Every point on a number line represents

(a) a rational number (b) a natural number

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form $\sqrt{m},$ where $^{'} m^{'}$ is a natural number.

(iii) Every real number is an irrational number.

π

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

(d) Every real number is either rational or irrational.

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