By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false.
-$$\text { Six times the sum of a number and eight is represented by } 6 ( x + 8 ) \text { and } \frac { 6 } { 13 } \in \{ x \mid x \text { is a rational number } \}$$

Question

Quizplus · Accepted Answer

The first part of the statement correctly represents the mathematical expression for "six times the sum of a number and eight" as $6(x + 8)$. The second part of the statement correctly identifies that $\frac{6}{13}$ is a rational number, as rational numbers are defined as any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, with the denominator $q$ not equal to zero. Since both statements are true, the entire "and" statement is true.

By Definition, an "And" Statement Is True Only When the Statements