Question

solve for $x$ and graph the solution on the number line below. $\frac{x}{-2}<4$

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the inequality sign flips. So we have $x>4\times(- 2)$.
$x > - 8$

Answer:

The solution is $x > - 8$. To graph it on a number - line, draw an open circle at - 8 (since the inequality is strict, i.e., $x$ is greater than but not equal to - 8) and draw an arrow to the right to represent all the numbers greater than - 8.