Question

Given y < 4x – 6, explain how to graph this and decide whether or not (– 1, 5) is a solution to this inequality

Answer 1

the point (-1,5 ) is NOT a solution to the inequality.

There are three steps in graphing an inequality:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Now to solve this, graph the line y=4x-6

Lets use the point (0,0)

0<-6, is NOT true

So we shade everything to the left of the line y=4x-6

Hope that helped.