Answer to Question #166368 in Discrete Mathematics for faiz

Question

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

R -> (M v ~C)

(P v U) -> C

M -> ~P

R -> U

Thus, (M & U) v ~R

Question 4 options:

Valid

Invalid when C is false, M is false.

Invalid when R is true, U is false.

Invalid when R is true, U is true.

Invalid when M is true, P is false.

Answer 1

The truth table for the given expression are:-

Hence The given expressions are invalid when R is true and U is false.