Question

graph the solution on the number line below. -1 < \frac{x}{-4}

Explanation:

Step1: Multiply both sides by -4

When multiplying an inequality by a negative number, the inequality sign flips. So, $-1<\frac{x}{-4}$ becomes $(-1)\times(- 4)>\frac{x}{-4}\times(-4)$.
$4 > x$ or $x<4$.

Answer:

On the number - line, draw an open - circle at 4 (because the inequality is $x < 4$, not $x\leqslant4$) and shade the line to the left of 4 to represent all the values of $x$ that satisfy the inequality.