SOLUTION: My question is to "Graph the following linear inequality. 8x-9y<72", I've tried it but I seem to continue getting it wrong.

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Question 795477: My question is to "Graph the following linear inequality. 8x-9y<72", I've tried it but I seem to continue getting it wrong.
Found 3 solutions by stanbon, josgarithmetic, waynest:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
My question is to "Graph the following linear inequality. 8x-9y<72", I've tried it but I seem to continue getting it wrong.
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Solve for "y": y > (8/9)x - 8
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Graph:
You don't graph the inequality, you graph the boundary which on equality.
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Graph y = (8/9)x -8 as a dashed line.
Plot (9,-8) and (9,0) and draw the boundary thru those two points.
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Shade the half-plane ABOVE the boundary because you want
y to be GREATER than (8/9)x-8.
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graph%28400%2C400%2C-10%2C15%2C-15%2C15%2Cy+%3E+%288%2F9%29x-8%29
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Cheers,
Stan H.
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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This one is no trick. Solve for y and you have your linear relation.

-9y%3C72-8x
y%3E72%2F%28-9%29-8x%2F%28-9%29
y%3E%288%2F9%29x-72%2F9
highlight%28y%3E%288%2F9%29x-8%29
This is based on the line, but the region satisfying is all points ABOVE line of y=(8/9)x-8, because what you have is a strict inequality.

graph%28400%2C400%2C-15%2C15%2C-15%2C15%2Cy%3E%288%2F9%29x-8%29
The red shaded region is the inequality.

Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
8x - 9y < 72
8x - 8x - 9y < -8x + 72
-9y < -8x + 72
-9y/-9 < 8/9x + (72/-9)
change the inequality symbol
y > (8/9)x - 8