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Mathematics 24 Online
OpenStudy (anonymous):

can someone help me

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)

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.

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.

OpenStudy (anonymous):

i got it thanks guys

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