Algebra 2

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Find the coordinates of any vertices formed. 3x + 4y ≥ 12, 5x + 6y ≤ 30, and 1 ≤ x ≤ 3.

I tried graphing this, which formed a parallelogram, but it was hard to find eyeball vertices.

  • Algebra 2 -

    That's what algebra is for. Pair up the equations to fin the intersections:

    3x+4y = 12
    5x+6y = 30
    x = -16 and y = 15

    and likewise for the others. No eyeballing needed.

  • Algebra 2 -

    Shouldn't it have 4 points due to 4 vertices?

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