if inequality makes it difficult make it easy.

Algebra Level 2

It is given that f(x) is a function defined on R, satisfying f(1) = 1, and for any x € R,

f ( x + 5 ) f ( x ) + 5 f(x+5) \geq f(x)+5 f ( x + 1 ) f ( x ) + 1 f(x+1) \leq f(x)+1

Find f (2002)+1-2002

2002 2 2003 1 none

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1 solution

Syed Baqir
Sep 12, 2015

f(1) = 1 satisfies f(x) = x

Hence: f(2002) = 2002

Therefore: 2002 +1 - 2002 = 1 \boxed{1}

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