Suppose that a decision maker always strictly prefers more money to less (so has the preference $2000 P $1000) and has the preferences \((1 \cdot $1000) P (0.6 \cdot $2000 + 0.4 \cdot $0)\) and \((0.3 \cdot $2000 + 0.7 \cdot $0) P (0.5 \cdot $1000 + 0.5 \cdot $0).\) True or False: these preferences are inconsistent with expected utility theory. That is, there is no utility function $u$ such that 1. $u($2000$) > u($1000$), 2. $EU(1 \cdot $1000$, u) > EU(0.6 \cdot $2000 + 0.4 \cdot $0, u)$, and 3. $EU(0.3 \cdot $2000 + 0.7 \cdot $0, u) > EU(0.5 \cdot $1000 + 0.5 \cdot $0, u)$. True False
