alex.gellatly wrote:If 0<r<1<s<2, which of the following must be less than 1?
I. r/s
II. rs
III. s-r
I only
II only
III only
I and II
I and III
Thanks
Try to DISPROVE the answer choices by showing that they can be EQUAL to one.
II. rs < 1.
If r = 2/3 and s = 3/2, rs = 2/3 * 3/2 = 1.
Eliminate any answer choice that includes II.
Eliminate B and D.
III. s-r < 1.
If s = 3/2 and r = 1/2, s-r = 3/2 - 1/2 = 1.
Eliminate any answer choice that includes III.
Eliminate C and E.
The correct answer is
A.
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