Question
Asked Sep 25, 2019

Assume that p is false, q is true, and r is false. Compute the truth value for the following expression. 

q ^ (~p v r)

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Expert Answer

Step 1

Provided that p is false, q is true, and r is false determine the truth value of the expression given below:

qpvr)
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qpvr)

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Step 2

The operator “Ú” logical OR results in true statement if either of the input is true.

The operator “Ù” logical AND results in true statement if and only if both the inputs are true.

The operator  “~” logical NOT negates the value of the input.

Step 3

Consider that p is false, q is true, an...

As, p is False so ~p is True
Now,(~pvr) is equivalent to (True v False) which is True.
p vr) is equivalent to True ^ True which is True
Hene, q
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As, p is False so ~p is True Now,(~pvr) is equivalent to (True v False) which is True. p vr) is equivalent to True ^ True which is True Hene, q

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Tagged in

Math

Algebra

Logic