SOLUTION: I don't understand how to graph an inequality. Would someone please help me?
2x+3y<=6 I don't understand how to get the points to graph. Thank you!
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Question 144432: I don't understand how to graph an inequality. Would someone please help me?
2x+3y<=6 I don't understand how to get the points to graph. Thank you!
Found 2 solutions by nabla, stanbon:
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
2x+3y<=6
3y<=6-2x
y<=2-(2/3)x
Plot that function as normal (y intercept=2; the graph goes DOWN 2 and TO THE RIGHT 3 for each whole number plot point because of the slope). Now, where is the function valued less than or equal to that line? Just shade below the line.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x+3y<=6
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This is both an EQUALITY and an INEQUALITY.
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You ALWAYS need to graph the EQUALITY first because
it is the boundary of the inequality.
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2x+3y = 6
Let x=0, then y = 2 giving you point (0,2)
Let y=0, then x = 3 giving you point (3,0)
Plot those two points and draw a line thru them.
That is the graph of the EQUALITY.
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Since your INEQUALITY states 2x+3y is Less than 6,
shade the half-plane BELOW the boundary line. That
is the graph of the INEQUALITY.
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The union of the two graphs is the graph for your problem.
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Cheers,
Stan H.
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