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Mathematics 14 Online
OpenStudy (anonymous):

If P is T, Q is F, and R is T, find the truth value of {(R => - Q) v (P^ -R)} => Q

OpenStudy (kinggeorge):

What's the (P^ -R) mean?

OpenStudy (kinggeorge):

Is that supposed to be an AND?

OpenStudy (anonymous):

Yes

OpenStudy (kinggeorge):

Just to be sure then, in english, the statement is [({R implies NOT Q} OR {P AND NOT R}) implies Q]

OpenStudy (anonymous):

Correct

OpenStudy (kinggeorge):

nevermind, I made a mistake. It should actually be FALSE.

OpenStudy (kinggeorge):

If P=T, Q=F, R=T, then (R => ~Q)=T. Thus, {(R => ~Q) v (P ^ ~R)}=T.This means the statement is saying (T => F) which is false. So the statement is FALSE.

OpenStudy (anonymous):

Thank you.

OpenStudy (kinggeorge):

You're welcome.

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