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Sagot :
After solving, the solution set of the give inequality is (-1, 3)
In the given question, we have to find the solution set of the given system of inequalities.
The given inequalities are
x+y≥2...................(1)
4x+y≥-1.................(2)
To solve the given inequality we use the elimination method.
Multiply equation 1 by 4 on both side, we get;
4x+4y≥8...................(3)
Subtract equation 3 and 2, we get;
3y≥9
Divide by 3 on both side we get;
y≥3
Put the value of y in equation 1
x+3≥2
Subtract 3 on both side, we get;
x≥-1
Hence, the solution set of the give inequality is (-1, 3).
To learn more about solution of inequalities link is here
brainly.com/question/22010462
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The write question is;
Which point is the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
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