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

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 $x = 0$ , ${y}_{1} > - 3 \mathmr{and} {y}_{2} < 3$

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