Which point lies in the solution set for the following system of inequalities? . .A. 2x + y < 4 . B.x − y > 3

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18-07-2016
Mathematics

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Which point lies in the solution set for the following system of inequalities? . .A. 2x + y < 4 . B.x − y > 3

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meerkat18 meerkat18 · Answer 1 · 2016-07-19T13:02:08+02:00

meerkat18 meerkat18

19-07-2016

We are given with two inequalites: 2x + y < 4 and x − y > 3. In this case, we substitute the inequalities first to equals so as to find the coodinates of the point.
2x + y = 4
x - y = 3
3x = 7
x = 7/3
y = -1/3

Hence the answer is x ≥ 7/3 and y ≤ -1/3

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