Why do we use a test point in solving inequalities?

Answer 1

when graphing, you use a test point to figure out which side of the graph you need to shade.

I hope this helps you...
if not, email me. at [e-mail]

Answer 2

You're most likely talking about 2-variable inequalities, where the graph is normally a line (solid or dotted) and then you shade on one side of that line. The test point tells you which side to shade on. If the point works in the inequality (you get a true statement when you plug in "x" and "y"), you shade on the side of the line where the point is located. If it doesn't work, you shade the other direction.

If you don't want to do a test point, you can instead solve the inequality for y (so it's essentially in the form y = mx + b ... but with < or > instead of =). If it's in that form, you always shade above the line for > and below the line for <.

Answer 3

put an easy number in for x or y, and see if it works