Solve the following question manually and show your process.

Let X be a continuous random variable and let a and b be constants. Then for any functions 91(x) and 92(56) whose expectations exist (a) Show that if 91(3):) 2 92(93),Vm, then E91 (X) Z E92(X) (b) Show that if a s 91(3):) 3 b,V:c, then a S Egl(X) g b