Discussion
If the distance between city P and city Q is x km. and the distance between city Q and city R is y km, then the distance between city P and city R is
Answer: C
The distance between P and R is less than or equal to x + y.
Going from P to R through Q covers x + y km, and a direct route can never be longer than a route through an intermediate point. This is the triangle inequality: PR ≤ PQ + QR. Equality holds only when Q lies on the straight line between P and R.
The distance is not always exactly x + y, because Q need not lie between P and R, and it can never be greater than x + y. Since 'less than or equal to x + y' is always true, 'None of the above' is wrong too.
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