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 $\frac{-8-3x}{2}\le5$−8−3`x`2≤5.

Hence, plot the inequality $\frac{-8-3x}{2}\le5$−8−3`x`2≤5 on the number line below.

##### Question 2

Consider the inequality $-4\left(5x-3\right)>52$−4(5`x`−3)>52.

Hence, plot the inequality $-4\left(5x-3\right)>52$−4(5`x`−3)>52 on the number line below.

##### Question 3

Consider the inequality: $\frac{3x}{8}+9>21$3`x`8+9>21

Hence, plot the inequality $\frac{3x}{8}+9>21$3`x`8+9>21 on the number line below.