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## Homework Statement

V = function space from R to R

L ={ f in V | f(1/2) > f(2) }

Determine if L is a vector space.

## Homework Equations

## The Attempt at a Solution

1. Closed under addition: Do i do addition like this let g and e in V, then g(1/2)+e(1/2) > g(2) + e(2) but the addiction of two functions is even a function ??