Question

How to graph linear inequality in two variables

Answer 1

Answer:

To graph a linear inequality in two variables (say, xx and yy ), first get yy alone on one side. Then consider the related equation obtained by changing the inequality sign to an equals sign. The graph of this equation is a line.

If the inequality is strict ( << or >> ), graph a dashed line. If the inequality is not strict ( ≤≤ and ≥≥ ), graph a solid line.

Finally, pick one point not on the line ( (0,0)(0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane