New Zealand
Level 8 - NCEA Level 3

# Linear Programming - Graphical Method

## Interactive practice questions

Fill in the blanks below.

a

When graphing an inequality in two variables, what do we use if the inequality contains either $<$< or $>$>?

Solid line

A

Dashed line

B

Solid line

A

Dashed line

B
b

When graphing an inequality in two variables, what do we use if the inequality contains either $\le$ or $\ge$?

Solid line

A

Dashed line

B

Solid line

A

Dashed line

B
Easy
Less than a minute

What are vertices?

Does the test point $\left(0,0\right)$(0,0) satisfy the inequality $-2x-3y\ge6$2x3y6?

Do the points on the graph of $-2x-3y=6$2x3y=6 lie on the graph of $-2x-3y>6$2x3y>6?

### Outcomes

#### M8-4

Use curve fitting, log modelling, and linear programming techniques

#### 91574

Apply linear programming methods in solving problems