Which y-values make the ordered pair (5 ,y) a solution of the following inequality?-7x+5y≥5
Accepted Solution
A:
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 ≥ 5Now, 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 yAlso, Left side is greater than equal to 5⇒ -35 + 5 y ≥ 5or, -35 + 5 y + 35 ≥ 5 + 35or, 5 y ≥ 40or, y ≥ 40/ 5 = 8or , y ≥ 8Hence, for all values of x= 5 and y ≥ 8 , the above inequality holds TRUE.