Answer
$[-\frac{1}{10},\infty)$
Work Step by Step
$-4x\leq\frac{2}{5}$
Solve for x.
Mutiply each side by $-\frac{1}{4}$. Multiplying by a negative requires you to reverse the inequality sign.
$-4x\times-\frac{1}{4}\geq \frac{2}{5}\times-\frac{1}{4}$
$x\geq -\frac{2}{20}$
Reduce the fraction by the greatest common factor of 2.
$x\geq -\frac{1}{10}$
This is written in interval notation as
$[-\frac{1}{10},\infty)$
where [ indicates that the solution set for x includes $-\frac{1}{10}$.
