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# If the shaded region in the diagram above represents a solution set, List the system of...

davene25 | Student, Undergraduate | eNoter

Posted September 11, 2013 at 3:00 PM via web

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If the shaded region in the diagram above represents a solution set, List the system of inequalities which define that region.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 11, 2013 at 3:12 PM (Answer #1)

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The area shown is enclosed between 4 lines. First, determine these lines.

On of them is the y-axis, x = 0. The other is a horizontal line y = 2.

The third line is represented by `x/5 + y/10 = 1` or 10x + 5y - 50 = 0. The fourth line is represented by the equation `x/-2 + y/6 = 1` or 6x - 2y + 12 = 0.

The given area is the solution of the inequalities: x > 0, y > 2, y < 3x + 6 and y < 10 - 2x

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