Question

1. solve for x and graph the solution on the number line below. -4x < -8

Explanation:

Step1: Divide both sides by -4

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-4x}{-4}>\frac{-8}{-4}$.

Step2: Simplify the expressions

$x > 2$.
To graph on the number - line: Draw a number - line. Mark a point at 2. Since $x>2$, draw an open circle at 2 (because 2 is not included in the solution set) and draw an arrow to the right of 2 to represent all the numbers greater than 2.

Answer:

$x > 2$; On the number - line, an open circle at 2 and an arrow to the right.