Answer to Question #326311 in Discrete Mathematics for Sheena

Question

B. Write each statement into its symbolic form.(3 pts each)

Let

x: PJ is a mathematician

y: MJ is a programmer

a. PJ is not a mathematician.

b. PJ is a mathematician while MJ is a programmer.

c. If PJ is a mathematician then MJ is not a programmer.

d. PJ is a mathematician or if PJ is a mathematician then MJ is a

programmer.

e. Either PJ is a mathematician and MJ is a programmer, or neither PJ is

a mathematician nor MJ is a programmer.

C. Show whether or not p → q ≡ (p ^ q) v (𝒑

̅ ^ 𝒒

̅) (10 pts)