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2 March, 02:16

Which graph represents the solution to the system of inequalities? y ≥ x - 5 y < - x + 4

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  1. 2 March, 23:17
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    We want to solve the system of inequalities

    y ≥ x - 5

    y < - x + 4

    The line y = x - 5 has

    slope = 1

    y-intercept = - 5

    x-intercept: x - 5 = 0 = > x = 5

    The line y = - x + 4 has

    slope = - 1

    y-intercept = 4

    x-intercept: - x + 4 = 0 = > x = 4

    Answer:

    Graph the two lines and apply the inequalities as shown in the figure.

    The shaded area is the solution region.
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