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8 January, 10:59

Which y-values make the ordered pair (5, y) a solution of the following inequality?

-7x+5y≥5

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  1. 8 January, 14:27
    0
    For x = 5 and all values of y ≥ 8, the above inequality holds TRUE.

    Step-by-step explanation:

    Here, the given inequality is:

    -7x + 5y ≥ 5

    Now, for (5, y) to be the solution of above equation,

    Left side of equation at (5,0) should be greater than equal to 5.

    Now, - 7x + 5y = - 7 (5) + 5 y = - 35 + 5 y

    Also, Left side is greater than equal to 5

    ⇒ - 35 + 5 y ≥ 5

    or, - 35 + 5 y + 35 ≥ 5 + 35

    or, 5 y ≥ 40

    or, y ≥ 40 / 5 = 8

    or, y ≥ 8

    Hence, for all values of x = 5 and y ≥ 8, the above inequality holds TRUE.
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