If \(a < b < c\) and \(d < a < e,\) which of the following is necessary in order to determine whether \(b < e?\)

[VJesus12]

If \(a < b < c\) and \(d < a < e,\) which of the following is necessary in order to determine whether \(b < e?\)

A. \(c < e\)
B. \(b < d\)
C. \(c < d\)
D. \(a < e\)
E. \(d < c\)

Answer: A

Source: Economist

[Scott@TargetTestPrep]

If \(a < b < c\) and \(d < a < e,\) which of the following is necessary in order to determine whether \(b < e?\)

A. \(c < e\)
B. \(b < d\)
C. \(c < d\)
D. \(a < e\)
E. \(d < c\)

Answer: A

Solution:

We know that b is less than c. So if c is less than e, then b must also be less than e.

Answer: A