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Graph the system of inequalities y<5x-1, y\geq\geq-3x+4 Which two quadrants does the solution lie in?
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Graph the system of inequalities y<5x-1, y\geq\geq-3x+4 Which two quadrants does the solution lie in?
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Oct 1, 2018
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Graph the system of inequalities y<5x-1, y
\geq-3x+4
Which two quadrants does the solution lie in?
Mathematics
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Colin Marshall
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Colin Marshall
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The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
Gautier
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Oct 6, 2018
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Gautier
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