Q.1: State whether the following statements are true or false. Justify your answers.

  1. Every irrational number is a real number.

  2. Every point on the number line is of the form m, where m is a natural number.

  3. Every real number is an irrational number.

Solution:

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form m, where m is a natural number.

(iii) Every real number is an irrational number.