Answer to Question #246833 in Discrete Mathematics for Mathica

Question

(4). Write the converse, inverse, and contrapositive of the statement “If

5 is an odd number, then it is a prime number.”

(5). Draw a truth table and determine for what truth values of p and q

the proposition ∼ q ∨ p is false.

(6). Construct truth tables for

(a) (∼ p ∨ q) =⇒ r

(b) p ∧ (q ∨ r) ⇐⇒ ∼ q

Answer 1

Part 4

Converse:

If 5 is a prime number, then it is an odd number.

Inverse:

If 5 is not an odd number, then it is not a prime number.

Contrapositive:

If 5 is not a prime number, then it is not an odd number.

Part 5

Part 6

a)

b)