How do you graph the inequality x - y > 3 xy>3 and x + y<3 x+y<3?

1 Answer
Aug 8, 2017

Shade the area between dotted lines representing the two inequalities.

Explanation:

Just set up a simple table with x-values and the corresponding y-values for each inequality.

Draw a dotted line of the solution to each in the form of an equality (dotted because the equality is not included in either line).
y = x - 3y=x3 and y = -x + 3y=x+3

For example, at x = 0x=0 , y_1 > -3 and y_2 < 3y1>3andy2<3

Any point between those two points on the graph is part of the solution area.