Question

State whether the following statements are true or false:

Every real number is an irrational number. Give reasons for your answers.

• A. True
• B. False

Answer 1

The correct option is B False

Explanation for the statement:

We know that real numbers are those numbers that are used for counting and ordering , which include both rational and irrational number , whereas irrational numbers are those numbers that cannot be expressed in the form $\frac{p}{q}$ (where $p$ and $q$ are integers and $q\ne 0$).

Therefore, every irrational number is a real number.

Hence, every real number is an irrational number is a false statement.