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.
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.
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