how do I graph inequality

Question

-3x + 5y < 10;

Answer 1

Draw the line 5y=3x+10 (same as y=(3x+10)/5 or y=⅗x+2). Use a dotted or broken line.

y<(3x+10)/5 is represented by shading the area below the line. The line is broken indicating < rather than ≤. It means that points on the line itself are not included, but any point within the shaded region satisfies the inequality. Inequalities always represent areas (sometimes called regions) while equalities represent points.

If the inequality had been > instead of <, the shaded area would have been above the broken line.

A solid line is used to indicate ≤. instead of <.