# Which of the following is a true statment?

Question:

Which of the following is a true statment?

(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:

(d) $\pi$ is irrational and $\frac{22}{7}$ is rational.

Because the value of $\pi$ is neither repeating nor terminating, it is an irrational number. $\frac{22}{7}$, on the other hand, is of the form $\frac{p}{q}$, so it is a rational number.