Question

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

Answer 1

Answer:

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.