SOLUTION: 1. Graph the inequality, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solutio

Algebra ->  Finance -> SOLUTION: 1. Graph the inequality, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solutio      Log On


   

Question 1132225: 1. Graph the inequality, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Where is your inequality?
The reference line is made by replacing the inequality symbol with an equality symbol. You use then a dotted line for a strict inequality, or a solid line for an inclusive inequality.

The half-plane which contains the solution points is the one which is given the shading or the cross-hatching.

For some general linear inequality with as Ax%2BBy%3E=C , this has also an inequality y%3E=-Ax%2FB%2BC%2FB. This line cuts the plane into two half-planes.
Pick any point (h,k) in either half-plane. If it satisfies the inequality, then the halfplane it is from is the solution for the inequality. Otherwise, the other half-plane of points is the solution.