Which of the following is necessarily greater than 1?
Explanation:
x, y and z are distinct real numbers.
∴ Without loss of generality, let x < y < z
Then,
f(x, y, z) = y; g(x, y, z) = y; h(x, y, z) = z
j(x, y, z) = x; m(x, y, z) = z; n(x, y, z) = x
Substituting these values in the given options,
Option 1 = (z – y)/x may or may not be greater than 1.
Option 2 = x/z < 1
Option 3 = y/y = 1
Option 4 = (y + z − y)/x > 1
Hence, option (d).
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