Question 179093
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Given:


*[tex \Large \neg p]


*[tex \Large q]


*[tex \Large r]


Determine the truth of:


*[tex \Large \neg q \Leftrightarrow \[\neg r \small \wedge \Large ( p \small \vee \Large q )\]]


*[tex \Large \neg q = \text { False}] because *[tex \Large q] given.


*[tex \Large \neg r = \text { False}] because *[tex \Large r] given.


*[tex \Large [\neg r \small \wedge \Large ( p \small \vee \Large q )\] = \text { False}] because *[tex \Large \neg r = \text { False}] 


Statement being evaluated reduces to *[tex \Large \text {False \Leftrightarrow False] which is always True.
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