Question: Determine the validity of the following arguments without using truth tables. (a)If I like mathematics, then I will study. I will not study. Either I

Determine the validity of the following arguments without using truth tables.

(a)If I like mathematics, then I will study.

I will not study.

Either I like mathematics, or I like soccer.

therefore, I like soccer.

(b) If I like mathematics, then I will study.

Either I do not study, or I pass mathematics.

If I do not graduate, then I did not pass mathematics.

If I like mathematics, then I will graduate

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