## Precalculus: Mathematics for Calculus, 7th Edition

(a) Both $-3$ and $-4$ are negative numbers. Since $-3$ has a lower absolute value, $-3$ is bigger than $-4$. Therefore, the presented inequality is false. (b) Both $3$ and $4$ are positive numbers. Since $3$ has a lower absolute value, $3$ is smaller than $4$. Therefore, the presented inequality is true.