Question

1. (3 pts) solve and graph the inequality below 4 - 2x > - 2

Explanation:

Step1: Isolate the variable - term

Subtract 4 from both sides of the inequality $4 - 2x>-2$.
$4-2x - 4>-2 - 4$
$-2x>-6$

Step2: Solve for x

Divide both sides of the inequality by - 2. When dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-2x}{-2}<\frac{-6}{-2}$
$x < 3$

Step3: Graph the solution

On the number - line, draw an open circle at 3 (because $x$ is less than 3, not less than or equal to 3) and shade the line to the left of 3.

Answer:

The solution of the inequality is $x < 3$. On the number - line, there is an open circle at 3 and the line is shaded to the left of 3.