+1982 Which statement MUST be true given that a is positive and b, c, and d are all positive integers, and a < 1 < b < c < d.
A) 1/a > b
B) b - d > c - d
C) c + 1/a < d + 1/a
D) a > 1/d
E) c < a
+129852 c < d
Since a is positive, then 1/a is also positive
Add 1/a to both sides
c + 1/a < d + 1/a
+1982 Plug in numbers for a, b, c, and d and see which statement will always be true. If you add the same amount to two numbers one of which is smaller than the other they will maintain the same relationship. Therefore, c + 1/a < d + 1/a is true.
