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Gemma has to complete her chores for the week. She must finish 10 hours of chores to receive her allowance. She can work on landscaping for 2 to 8 hours. She can also do laundry for 4 to 6 hours. Determine the graph that correctly represents this system of inequalities.

PLEASE HELP! At least help me set up an equation and I'll understand.

  • math -

    call the two chores x and y

    x+y = 10
    2 <= x <= 8
    4 <= y <= 6

    since y is between 4 and 6, x is between 6 and 4.

    assuming whole hours, (4,6),(5,5),(6,4) are the solutions.

    If x+y >= 10, then other values become possible.

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