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How to Solve Equations & Inequalities Then Graph the Inequality Solutions

Inequalities are a form of equation that uses a greater than, less than sign instead of an equal sign. The purpose for inequality equations is to isolate a larger tangential area of possible solutions, as opposed to only the solutions existing on the graphed line. The rules used to solve and graph equations are the same when it comes to solving and graphing inequalities with one exception: Shade areas on the graph when graphing inequalities.

Instructions

- 1
  Evaluate your equation and determine whether it is in standard graphing form. For this exercise, the equation will be x+4<9-y. In order for this inequality to be graphable, there can only be one variable.
- 2
  Set x to zero and solve for y. For the example 0+4<9-y, subtract the 9 and divide by -1 to get 5<y. This is where the line passes through the x axis.
- 3
  Set y to zero and solve for x. For the example x+4<9-0, subtract the 4 and to get x<5. This is where the line passes through the y axis.
- 4
  Place a point on the x and y axis where the zeros intersect. Draw your line and color the region below the line.

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