Question

when graphing a system of inequalities, how do I know which area to shade? {Example: y>(2/3)x-4}

Answer 1

If you have to shade the required region,
if it is y > something, then you shade above the line
if it is y < something, shade below the line

Answer 2

does this change if the > or < sign has an = under it?

Answer 3

The way I know to do this is to choose an ordered pair that is not on the line, like (0,0) in this case, and plug it into the inequality. If it makes the inequality true, then we shade that region. If it makes the inequality false, we shade the opposite region

Answer 4

The only thing that changes is that your line on the graph will be solid if you have the < or > sign with an = under it. Without the = under it, the line is a dashed line