Question

14 graph the inequality -2x > 4

Explanation:

Step1: Solve the inequality for x

Divide both sides by - 2 and reverse the inequality sign. When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-2x}{-2}<\frac{4}{-2}$.
$x < - 2$

Step2: Graph the solution

On a number - line, draw an open circle at $x=-2$ (because the inequality is $x < - 2$, not $x\leq - 2$) and shade the line to the left of $x = - 2$.

Answer:

On a number - line, an open circle at $x=-2$ and shade to the left.