Answer to Question #278081 in Math for joy

Question

E. Determine the truth value of the compound statement given that p is a false statement, q is a true statement, and r is a true statement

1. p ν ( ~q ν r)

2. r ^ ~(p ν r)

F. Use two truth tables to show that each of the statements are equivalent.

1. p ν( p ^ r ) Ξ p

2. p ν(q ^ ~p) Ξ p ν q

G. Use a truth table to determine whether the given statement is a tautology or a self contradiction.

1. p ν~ p

2. p ^ (~p ^ q