Inequalities
Three step inequalities on a number line
Lesson
Now that we have the hang of solving 1, 2 and 3 step inequalities we are able to graph these solutions on number lines.
Here are some examples
Worked Examples
Question 1
Consider the inequality $\frac{-8-3x}{2}\le5$−8−3x2≤5.
Solve the inequality.
Hence, plot the inequality $\frac{-8-3x}{2}\le5$−8−3x2≤5 on the number line below.
Question 2
Consider the inequality $-4\left(5x-3\right)>52$−4(5x−3)>52.
Solve the inequality.
Hence, plot the inequality $-4\left(5x-3\right)>52$−4(5x−3)>52 on the number line below.
Question 3
Consider the inequality: $\frac{3x}{8}+9>21$3x8+9>21
Solve the inequality.
Hence, plot the inequality $\frac{3x}{8}+9>21$3x8+9>21 on the number line below.