MM
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
A:
For all $x>0$, it is true that $2^{x}<2x+2$.
B:
For all $x>0$, it is true that $2^{x}>2x+2$.
C:
There is a constant $c$ such that if $0<x<c$, then $2^{x}<2x+2$, but if $x>c$, then $2^{x}>2x+2$.
D:
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