Question

How do you graph the inequality `-4y<4x-24`?

Answer 1

Graph the straight line `y = 6-x`. Shade the region above ( in the positive direction of y-axis ) this line and excluding the line, and enter therein `-4y<4x-24`.

Explanation:

Divide by the negative factor `-4` of y and reverse the inequality sign, from < to >.
So, the inequality can be rearranged to the simple form `y>6-x`

.For any (x, y) location above this line (in the positive y-direction ), `y>6-x` and this is equivalent to `-4y<4x-24`. Mul