Question

F f(40) = f(45) and f(45) > f(60), which of the following statements is true?

A) f(40) > f(60)
B) f(40) = f(60)
C) f(40) < f(60)
D) The relationship between f(40) and f(60) cannot be determined from the given information.

Answer 1

The given conditions tell us that f(40) is equal to f(45), and f(45) is greater than f(60), thus f(40) must be greater than f(60). The correct answer is A) f(40) > f(60).

Step-by-step explanation:

If f(40) = f(45) and f(45) > f(60), we can conclude that whatever the value of f(40) is, it must be the same as f(45) since they are equal to each other. Now, given that f(45) is greater than f(60), and since f(40) is equal to f(45), it follows that f(40) must also be greater than f(60). No additional information is provided that would affect this relationship. Therefore, the correct answer is A) f(40) > f(60). This makes sense as we are simply applying the transitive property of inequality to the functions values.