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)   (Show Source): You can put this solution on YOUR website!
Determine whether the given point satisfies the inequality.
Graph.
7y+6x<50;(-5,5)
------
7*5 + 6*-5 < 50
35 - 30 < 50
---
5 < 50
=====
Graph.
7y+6x<50;(-5,5)
Solve for "y":
7y < -6x + 50
y < (-6/7)x + (50/7)
------
Graph the boundary as a dashed line

-----
Shade the area BELOW the boundary because you want
y to be LESS THAN (-6/7)x+(50/7).
---
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.

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