# 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).

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:13 pm ad1c9bdddfhttps://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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