Application of DerivativeHard

Question

If p, q, r are any real numbers, then

Options

A.max (p,q) < max (p, q, r)
B.min (p,q) = {p + q - | p - q |}
C.max (p,q) < min (p, q, r)
D.None of the above

Solution

Since, max (p, q)
max (p, q, r)
∴   max (p, q) < max (p, q, r) is false.
We know, |p - q|
∴   {p + q - | p - q |}
           
⇒         {p + q - | p - q |} = min (p, q)

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