Question

Which is the graph of the linear inequality 2x-3y < 12?

Answer 1

First, transform the given equation into the slope-intercept form, y = mx + b.

2x - 3y < 12

3y > 2x - 12

y >
`(2)/(3)`x - 4

Since the equation is y >
`(2)/(3)`x - 4, first draw the graph of y =
`(2)/(3)`x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.