Transcript If x is a real number greater than 1,000,000, which of the following fractions is the smallest in value? F. x 1 G. x -1 H. x.

If x is a real number greater than 1,000,000, which of
the following fractions is the smallest in value?
F.
5
x 1
G.
5
x -1
H.
x 1
5
5
J.
x
x
K.
5
The correct answer is F.
Explanation:
H and K can be eliminated because, with a very large number in the
numerator and 5 in the denominator, they are very large. F, G, and J all
have the same numerator, so the smallest of the three will be the one
with the largest denominator. Since x – 1 < x < x + 1, x + 1 is the largest
denominator and 5 is the smallest fraction.
x 1