NZ Level 6 (NZC) Level 1 (NCEA)
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$83x25.

1. Solve the inequality.

2. Hence, plot the inequality $\frac{-8-3x}{2}\le5$83x25 on the number line below.

##### Question 2

Consider the inequality $-4\left(5x-3\right)>52$4(5x3)>52.

1. Solve the inequality.

2. Hence, plot the inequality $-4\left(5x-3\right)>52$4(5x3)>52 on the number line below.

##### Question 3

Consider the inequality: $\frac{3x}{8}+9>21$3x8+9>21

1. Solve the inequality.

2. Hence, plot the inequality $\frac{3x}{8}+9>21$3x8+9>21 on the number line below.

### Outcomes

#### NA6-7

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

#### 91028

Investigate relationships between tables, equations and graphs