>>...Brian has no more than 16 coins...<<
That says if you add the number of nickels (x) to the number of
dimes (y) you get a number either less than 16 or equal to 16:
x + y < 16
>>...There are at least four times as many nickels as there are dimes...<<
That says the number of nickels (x) is greater than or equal to 4
times the number of dimes (y).
x > 4y
>>...Which of the following is a system of inequalities that describes this situation?...<<
That's this system:
x + y < 16
x > 4y
Edwin