Answer to Question #166371 in Discrete Mathematics for faiz

Question

Use a short truth table to determine whether or not the following argument is valid.

(K & ~C) -> ~(P & R)

J -> (K & P)

A -> (P & R)

Thus, (A & J) -> C

Question 1 options:

Valid

Invalid, with R = false, P = true

Invalid, with A = true, K = true

Invalid, with J = true, R = true

Invalid, with P = true, C is false

Answer 1

The truth table for the given expression is-

Thus $(A \text { and }J)\rightarrow C$ is wrong statement.

Hence The given statements are invalid with P = true, C is false.