Question

Find whether the following statement are true or false.
(i) Every real number is either rational or irrational.
(ii) $\pi$ is an irrational number.
(iii) Irrational numbers cannot be represented by points on the number line.

Answer 1

(i) True, because rational or an irrational number is a family of real number. So every real number is either rational or an irrational number.

(ii) True, because the decimal representation of an irrational is always non-terminating or non-repeating. So is an irrational number.

(iii) False, because we can represent irrational numbers by points on the number line.