Chapter 1 - Section 1.1 - Algebraic Expressions, Real Numbers, and Interval Notation - Exercise Set - Page 13: 39

False

Work Step by Step

An irrational number is a number that cannot be expressed as a quotient of two integers. Note that $7 = \frac{14}{2}$. 14 and 2 are integers. Thus, $7$ is a rational number. $\in$ means the number is an element of the given set. Since $7$ is a rational number, it is not an irrational number. Therefore, the given statement is false.

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