You can put this solution on YOUR website! Graph each of the following inequalities. 3x-4y<12
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You need to graph the boundary of the inequality which is the corresponding EQUALTIY 3x-4y=12
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Change to slope-intercept form as follows:
y = (3/4)x-3
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Plot two points:
If x=0, y=-3 giving you point (0,-3)
If x=4, y=0 giving you point (4,0)
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Plot and draw a dashed line thru the two points:
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That is the boundary of the solution set for the inequality y>(3/4)x-3:
The solution for the inequality is the half-plane above the boundary line
because you are looking for y-values that are GREATER THAN the y-values
on the boundary.
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Cheers,
Stan H
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