SOLUTION: how would you graph 5x + 3y is greater than or = to -9 usimg system of inequalities?

Question 240460: how would you graph 5x + 3y is greater than or = to -9 usimg system of inequalities?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how would you graph 5x + 3y is greater than or = to -9 using system of inequalities?
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1st: Graph the boundary line y = (-5/3)x - 3
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Shade the half-plane ABOVE the boundary because
you want y GREATER than the boundary line.

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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Graph the equation . Since the original inequality has a symbol and therefore the solution set will contain points on the line, construct the graph using a solid line.

Step 2: Pick a test point that is NOT on the line. Since this line does not pass through the origin, the point (0,0) is an excellent choice.

Step 3: Substitute the coordinates from the point you selected in the previous step for the variables in your original inequality. Perform any necessary arithmetic.

Step 4: If the result of step 3 is a true statement, shade in the half-plane that contains the test point. If the result is a false statement, shade in the half-plane that does NOT contain the test point.

Your solution set is the shaded area. Since the line is solid, points on the line are included in the solution set.

John

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