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

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.

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.

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.

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

Investigate relationships between tables, equations and graphs