Consider Four Gambles: A,B, C, D $A>B$ And $C>D$ And My Preferences Satisfy the Independence Axiom, Then What Must

Multiple Choice

Consider four gambles: A,B, C, D. If $A>B$ and $C>D$ and my preferences satisfy the independence axiom, then what must be true for any $p \in[0,1]$ ?

A) $p A+(1-p) B>p A+(1-p) C$
B) $A>C$
C) $p C+(1-p) B>p D+(1-p) B$
D) $p C+(1-p) B>(1-p) D+p B$