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OpenStudy (mr.math):
I think someone can.
OpenStudy (anonymous):
Which point is a solution to the following system of inequalities?
4x + 3y < 12
2x – 5y > 10
OpenStudy (mr.math):
There are infinitely many points.
OpenStudy (mr.math):
This has to be a multiple-choice question.
OpenStudy (anonymous):
A.(–1, 2)
B.(2, 5)
C.(1, –3)
D.(–2, 5)
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OpenStudy (across):
Without getting analytical, you can grab one of those points, plug it into both equations and see if it meets the inequalities.
OpenStudy (mr.math):
Yeah, I agree with across. D you know how to do that?
OpenStudy (mr.math):
Do*
OpenStudy (anonymous):
yes
OpenStudy (mr.math):
Then you are be able to find the answer.
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OpenStudy (across):
For example, you're given\[4x + 3y < 12,\]\[2x – 5y > 10 .\]So grab the first point \((-1,2)\), plug it in, and see if it works or not:\[4(-1) + 3(2) < 12\implies-4+6<12\implies2<12,\]\[2(-1) – 5(2) > 10\implies-2-10>10\implies-12>10.\]The first inequality is true, but the second one isn't. So try the next point.