# 2 + (1+1+1) = 5 - 100 followers problem

Algebra Level 5

Statement 1

$$\left[ x+\frac { 1 }{ 2 } \right]$$ is an odd function, while $$\cos { \pi x }$$ is an even function.

Statement 2

$$\left[ x+\frac { 1 }{ 2 } \right] \cos { \pi x }$$ is an odd function.

Statement 3

Product of an odd function and an even function is an odd function.

$$[x ]$$ is the greatest integer less than or equal to $$x$$.

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