How do you graph the inequality #x - y > 3 # and #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 - 3# and #y = -x + 3#

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

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