Question

14 solve the inequality: (a) -2x < 4 enter your answer in inequality notation. (b) graph your solution set.

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-2x}{-2}>\frac{4}{-2}$.

Step2: Simplify the expressions

We get $x > - 2$.

Answer:

(a) $x > - 2$
(b) On the number - line, draw an open circle at - 2 (since $x$ is greater than - 2, - 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.