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Logic Problem and Truth Value

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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 September 23, 2018, 2:48 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.

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