Question

graphing the solution of a one variable inequality
graph the solution of this inequality: - 2x + 13 < 9
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
drag a point to the number line.
show example

Explanation:

Step1: Isolate the variable term

Subtract 13 from both sides of the inequality $-2x + 13<9$.
$-2x+13 - 13<9 - 13$
$-2x<-4$

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.
$\frac{-2x}{-2}>\frac{-4}{-2}$
$x > 2$

On a number - line, we represent $x>2$ with an open circle at 2 (because 2 is not included in the solution set) and an arrow pointing to the right.

Answer:

An open circle at 2 and an arrow pointing to the right on the number - line.