Question

State whether the following statement is true or false- A real variable is a variable whose values are real numbers.

Answer 1

Hint: The given statement is related to the concept of real numbers. Here in this question, we have to state whether the statement is true or not. In order to identify whether the statement is correct or not, we should be aware of the concept of real numbers. A quantity that can change within its context is a variable. A variable is represented by a single letter. The standard generic symbols used for variables are the letters $ x $ and $ y $ .

Complete step-by-step answer:
On the other hand, real numbers are those numbers which can be plotted on the number line. All the numbers on the number line indicate the real numbers. The real numbers include natural numbers, whole numbers, rational numbers and irrational numbers. Along with that, rational numbers do include fractions and integers.
Now according to the given statement, a variable which can take real numbers only as its value is known as a real variable.
Therefore, the statement- ‘A real variable is a variable whose values are real numbers’ is true.

Note: In the above asked question, we were to determine whether the statement was true or false. The given statement was theoretical based and could only be understood and answered if the concepts of real numbers and variables were clear. Students should know a concept deeply to answer any theoretical or practical application-based question.