Let p: It is a public holiday. q: I go swimming. r: I go to the library. s: I go to the campus. t: I am not feeling well. (a) Express the following argument using the above notations: If it is a public holiday, then I go to the library or I go swimming. I go to the campus unless it is a public holiday. If I am not feeling well, then I do not go to the campus. I am not feeling well and I do not go swimming. Therefore I go to the library.

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Let
p: It is a public holiday.
q: I go swimming.
r: I go to the library.
s: I go to the campus.
t: I am not feeling well.
(a) Express the following argument using the above nolations:
If it is a public holiday, then I go to the library or I go swimming.
I go to the campus unless it is a public holiday.
If I am not feeling well, then I do not go to the campus.
I am not feeling well and I do not go swimming.
Therefore I go to the library.
(b) Without using truth table, determine the validity of the above argument, give reasons for
your steps.
Transcribed Image Text:Let p: It is a public holiday. q: I go swimming. r: I go to the library. s: I go to the campus. t: I am not feeling well. (a) Express the following argument using the above nolations: If it is a public holiday, then I go to the library or I go swimming. I go to the campus unless it is a public holiday. If I am not feeling well, then I do not go to the campus. I am not feeling well and I do not go swimming. Therefore I go to the library. (b) Without using truth table, determine the validity of the above argument, give reasons for your steps.
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