Graphing Multiple Inequalities Using Two Variables.

First graph each equation as explained in my previous post but only shade lightly. Next determine if the problem is asking for the intersection (and) or union (or).
If it is an intersection then the solution for the system of two or more equations is only where all of the graphs overlap.
If it is a union it is where any of the shading is located.

Be careful of infinite solutions and no solutions.

For example: Graph the equations y > 3x - 2 and y < x + 2.
First graph y > 3x - 2.

Since, this is a greater than equation like to make a little arrow pointing up indicating which side of the line will be shaded.

Now graph y < x + 2

Again, I like to make little arrow indicating which side of the line the shading is on.

Now shade where both lines are.

Give it a try.