Explore BrainMass
Share

Logic Problem and Truth Value

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:

p^(~q)

p^q^r

p^(qVr)

~(p^q)

(~p)V(~q).

© BrainMass Inc. brainmass.com October 24, 2018, 6:15 pm ad1c9bdddf
https://brainmass.com/math/discrete-math/logic-problem-truth-value-35775

Solution Preview

Here are the basic boolean operators:

~ is logical NOT

~T=F (not true is false)
~F=T (not false is true)

^ is logical AND

F^F=F (false and false is false)
F^T=F (false and true is false)
T^F=F (true ...

Solution Summary

This solution is comprised of a detailed explanation to find the truth value.

$2.19
See Also This Related BrainMass Solution

Logic Problems Statements

1. Write the statement in symbolic form and construct a truth table.
The zoo is open, but it is not a nice day.

2. Use DeMorgan's laws to determine whether the two statements are equivalent.
? (p V ?q), ?p ^ q

3. Determine the truth value of a statement.
15-7=22 or 4+8=13, and 9-8=1

View Full Posting Details