s from the class intro to math proof math 3350. Solve all the questions.

2.46. For statements P and Q, show that P = (Pv () is a tautology. 2.47. For statements P and O, show that (P A (~ O)) A (PA () and (P =~ () A (PA O) are contradictions. 2.50. Let R and S be compound statements involving the same component statements. If R is a tautology and S is a contradiction, then what can be said of the following? (a) RVS (b)RAS () R=S (d)S-R. 2.51. For statements P and Q, determine whether the compound statement (Pv Q) v (Q = P) is a tautology, a contradiction or neither