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12 June, 00:33

Graph the system of inequalities y<5x-1, y/geq-3x+4

Which two quadrants does the solution lie in?

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Answers (1)
  1. 12 June, 02:13
    0
    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.
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