# If A, B, and C are TRUE and X, Y, and Z are FALSE

25. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

A = (P = ~P)

26. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

~Z v ~Q

27. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

~Q > (~X v ~P)

28. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

A . ~P

29. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

(Y > ~A) > P

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#### Solution Preview

Please see attached file.

Hi!

Apologies for not helping out with this last night: I was online until about 9.

As regard the questions below, there are a couple of points where I'm unclear. If you could check your information, and get back to me, then I'll make the additional comments.

Thanks again for supporting BrainMass.

Best,

Dylan

Tutor's guidelines

25. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

A = (P = ~P)

This formulation can't be correct.

If P is a proposition, e.g. "It is raining", then it doesn't make sense to say "It is raining" is identical (=) to "It is not raining".

Could you perhaps check your symbolisation?

26. If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

~Z v ~Q

Firstly, I assume that ...

#### Solution Summary

The expert determines if function propositions are true or false. The value of the propositions are determined.