Which of the following is true about the values of $2^{x}$ and $2x+2$ for $x>0$?
Difficulty: Medium
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For all $x>0$, it is true that $2^{x}<2x+2$.
For all $x>0$, it is true that $2^{x}>2x+2$.
There is a constant $c$ such that if $0<x<c$, then $2^{x}<2x+2$, but if $x>c$, then $2^{x}>2x+2$.
There is a constant $c$ such that if $0<x<c$, then $2^{x}>2x+2$, but if $x>c$, then $2^{x}<2x+2$.
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