Question
Which of the following statements is true?
(a) \( \pi \) and \( \frac{22}{7} \) are both rationals
(b) \( \pi \) and \( \frac{22}{7} \) are both irrationals
(c) \( \pi \) is rational and \( \frac{22}{7} \) is irrational
(d) \( \pi \) is irrational and \( \frac{22}{7} \) is rational
Solution
About \( \pi \)
✘ Rational? No
\( \pi \) is a non-terminating and non-repeating decimal, so it is an irrational number.
About \( \frac{22}{7} \)
✔ Rational
It is in the form \( \frac{p}{q} \), where \( q \neq 0 \), so it is a rational number.
Final Answer
✔ Correct option: (d) \( \pi \) is irrational and \( \frac{22}{7} \) is rational