inequalities

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A home-based company produces both hand-knitted scarves and sweaters.
please help please
The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities

  • inequalities -

    Make scarves =x and sweaters = y.

    2x + 14y <(or equal to) 40.

    I think that's one of the constraints but I'm not sure how to get the other one.

    I don't think my answer is right though!

  • inequalities -

    2x + 14y </= 40
    You can also write that as
    x + 7y </= 20
    x + y <= 5
    Draw both of these straight lines:
    y = 20/7 - x/7
    y = 5-x
    Then find the region of the graph that lies below BOTH lines, AND for which both x and y are zero or positive. It is a quadrilateral with a right-angle corner at the origin. We cannot draw graphs for you here.

  • inequalities -

    I'm stuck on this 1 math problem. I've tried many ways to figure it out, but I can't. The problem is; 2(3x-5)>2x+6.

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