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Algebra / Linear inequalities in one or two variables Difficulty: Medium

A number $x$ is at most $17$ less than $5$ times the value of $y$ . If the value of $y$ is $3$ , what is the greatest possible value of $x$ ?

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Explanation

The correct answer is $negative 2$ . It's given that a number $x$ is at most $17$ less than $5$ times the value of $y$ , or $x \leq 5 y - 17$ . Substituting $3$ for $y$ in this inequality yields $x \leq 5 (3) - 17$ , or $x \leq - 2$ . Thus, if the value of $y$ is $3$ , the greatest possible value of $x$ is $negative 2$ .