NZ Level 6 (NZC) Level 1 (NCEA)
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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.

    -10-50510

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.

    -10-50510

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.

    25303540

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

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