Mariah B.

asked • 11/09/15

Which ordered pair is a solution to the inequality 7x-3y>10?

need to know asap

Mark M.

An unlimited number of ordered pairs are solutions to the inequality.
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11/09/15

Nathan B.

You probably have a list of ordered pairs to choose from, but you haven't shared that list yet.
 
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11/09/15

1 Expert Answer

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George P. answered • 11/09/15

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As mentioned by Mark there are an unlimited number of pairs that satisfy your equation. So let us see how you can characterize these solutions
 
if 7x - 3y > 10 then
7x > 10 +3y
 
Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6
then by substitution
7  must be > 10+ 3*6
or 7x must be > 28
or x must be > 4
So all pairs such that x is > 4 and y = 6 are solutions.
I can create an infinite number of pairs choosing any number for y. Likewise I could have chosen x and solved the problem for y. In the above example I chose 6 for y to make the division easy. I could have chosen any number(real or integer) for y and solved the equation for x  to derive appropriate  pairs
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