Question

solve the inequality. graph the solution. -9 < -\frac{1}{5}x the solution is □.

Explanation:

Step1: Multiply both sides by -5

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $-9\times(- 5)>-\frac{1}{5}x\times(-5)$.
$45 > x$

Answer:

$x < 45$
The graph of the solution has an open - circle at 45 (since $x$ is less than 45, not equal to 45) and the arrow points to the left on the number line.