Question

How do you graph `4x+3y> -12`?

Answer 1

`4x+3y > -12`

Start with the equation of the line
`4x+3y = -12`

It is easy to establish the intercepts for this linear equation:
`(0,-4) " and " (-3,0)`

Draw a straight line through these two points.

Since the original inequality `4x+3y > -12`
indicates that values on the y-axis above `(-4)` are part of the solution, shade the area above the line you have drawn indicating the shaded area as the solution set.