Question

Which y-values make the ordered pair (5 ,y) a solution of the following inequality?
-7x+5y≥5

Answer 1

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

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.