The Following Statements About Excepted Utility Theory Are All Equivalent $0, x_{C E}>0$

Multiple Choice

The following statements about excepted utility theory are all equivalent except:

A) For all gambles an individual's certainty equivalent is always greater than $0, x_{C E}>0$
B) If $x^{\prime}>x^{\prime \prime}$ then the slope of $u(x)$ is greater at $u\left(x^{\prime \prime}\right)$ then at $u\left(x^{\prime}\right)$ .
C) The individual is risk averse.
D) The individual is risk-neutral.