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