SOLUTION: Imagine you were going to graph the inequality y > -2x +3. Explain the steps and what the graph would look like. (You do not have to include a graph of the inequality, although
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Question 505944: Imagine you were going to graph the inequality y > -2x +3. Explain the steps and what the graph would look like. (You do not have to include a graph of the inequality, although graphing for your own sake may help you determine the steps while answering the question. Be detailed in your steps and description.)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Change the relationship symbol to "=". Graph the resulting line. If the original relationship symbol was 
or 
, do it with a dashed or broken line. If your symbol was 
or 
, graph the equation with a solid line.
Step 2: Pick any point on the coordinate plane that does not lie on the line you just graphed. If the line does not pass through the origin, )
then the origin is an excellent choice for this step. If the line does pass through the origin, select a point other than the origin -- I recommend a point that has small integer coordinates.
Step 3: Substitute the values of the coordinates of the point chosen in Step 2 for the corresponding variables in the inequality you started with in Step 1.
Step 4: Do the appropriate arithmetic to determine whether the substitution created a true statement or not. If you created a true statement, shade in the side of the line containing the point selected in Step 2. If you created a false statement, shade in the side of the line that does not contain the selected point.
John
My calculator said it, I believe it, that settles it
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