Question

Which statement is false?

Answer 1

Answer:

Every real number is a rational number (False)

Step-by-step explanation:

A Rational Number is a number that can be written in this form $\frac{a}{b}$ such b≠0. But in the Real Set, there is other subset like the Irrational set whose elements cannot be written in p/q form such as $\sqrt{2}$, $\pi$, etc. Those numbers can't be written as a ratio p/q.

So it is false to say that Every Real number is a rational number, for Irrational numbers are not Rational ones.

Answer 2

Every positive integer is a rational number