True or False:

Sofia requires a minimum level of consumption, a threshold if you like, to derive additional utility. For goods X and Z, Sofia's preferences admit the following utility function: U(X,Z) = 0 if X + Z 10 and U(X,Z) = X + Z otherwise Sofia's preferences are hard to rationalize economically because they violate the transitive property.

Answer if the statement is true or false, then support your answer.