SOLUTION: Determine whether the given point satisfies the inequality. Graph. 7y+6x<50;(-5,5)

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Question 692721: Determine whether the given point satisfies the inequality.
Graph.
7y+6x<50;(-5,5)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether the given point satisfies the inequality.
Graph.
7y+6x<50;(-5,5)
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7*5 + 6*-5 < 50
35 - 30 < 50
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5 < 50
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Graph.
7y+6x<50;(-5,5)
Solve for "y":
7y < -6x + 50
y < (-6/7)x + (50/7)
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Graph the boundary as a dashed line
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-6%2F7%29x%2B%2850%2F7%29%29
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Shade the area BELOW the boundary because you want
y to be LESS THAN (-6/7)x+(50/7).
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Plot the point (-5,5)
If the point is not in the shaded area, it does
not satisfy the inequality.
Cheers,
Stan H.
The point satisfies.
Cheers,
Stan H.