Question

Which inequality does this graph represent?

a) 3y – 6x < –6


b) 3y – 6x > –6


c) 3y – 6x ≤ –6


d) 3y – 6x ≥ –6

Answer 1

if the line counts then d if it doesnt then b

Explanation:

Answer 2

d

Explanation:

The boundary line is solid indicating ≥ or ≤

If > or < then line would be broken

Hence can only be c or d

Choose a test point from the shaded region and substitute into the left side of the inequality and determine validity

Choosing (0, 0), then

3y - 6x = 0 - 0 = 0 ≥ 6 ⇒ inequality d is represented by the graph