Laurie F.

asked • 02/20/13

Graphing Inequalities Please help...

Graph the following system of inequalities. Assume that the relationship between the inequality statements is an intersection. 

2y-x is greater than or equal to -7.

2y+3x is less than or equal to 15.

x is greater than or equal to 0.

y is greater than or equal to 0.

1 Expert Answer

By:

John R. answered • 02/20/13

John R: Math, Science, and History Teacher

Joseph J.

For each of the inequalities, if it includes equality (= or =) the edge (line) is part of the solution, and is indicated on a graph by a solid line. If it excludes equality (< or >), the edge is not part of the solution, and is indicated on a graph by a dashed line.

To check your work, you must verify two things:

  1. the lines are the correct graphs of the corresponding equations
  2. the direction of each inequality is correctly represented.

One way to verify the lines is to check their intersection points. Each intersection point should satisfy both of the (original) corresponding equations. You don't need to check all of them; checking the intersection points on the edge of the solution set is sufficient. (An intersection point is the solution of the system of equations of the two intersecting lines.)

To check the directions, select any point within the common area, and it should make all of the original inequalities true.

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02/20/13

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