Which of the following is true about the values of $2^{X}$ and<br/><br/>$2x+2$ for $x>0$?

Mashaal Masha

Mar 05, 2024

Which of the following is true about the values of $2^{x}$ and $2x+2$ for $x>0$?

Difficulty: Medium

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 $2^{x}<2x+2$.

ID: 65e6b10277077994e51821a9