## Introductory Algebra for College Students (7th Edition)

This statement is false. To make the statement true, we can change it this way: "The statement “$x$ is at most $5$” is written $x \leq 5$."
If we translate the phrase "$x$ is at most..." we would write it algebraically as: $$x \leq ...$$ Therefore, we can translate the statement "$x$ is at most $5$" as: $$x \leq 5$$ This statement, thus, is false because the inequalities are not the same. For $x < 5$, the solution set is $(-∞, 5)$ whereas with $x \leq 5$, the solution set is $-∞, 5]$ because $5$ is included in the solution. To make the statement true, we can change it this way: "The statement “$x$ is at most $5$” is written $x \leq 5$."