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

-7x+5y≥5

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.