# Math-geometry

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Identify which argument is invalid:

a.) If I catch the bus on time, then I am not late to work.
I was late to work.
Therefore, I did not catch the bus on time.
b.) If I shower in the morning, then I do not smell bad.
Therefore, I showered in the morning.
c.) Either I catch the bus on time or I am late to work.
I did not catch the bus on time.
Therefore, I was late to work.
d.) If the water is filtered, then it will not contain lead.
The water is filtered.
Therefore, it does not contain lead.
e.) If the elephant roars, then it does not want company.
If it does not want company, then it is hungry.
If the elephant roars, then it is hungry.

• Math-geometry -

• Math-geometry -

i think its e.)

• Math-geometry -

Actually, e.) is a valid statement according to the Law of Syllogism.

It's b.)

If I shower in the morning, then I do not smell bad.

You cannot make any valid conclusion because either "I showered in the morning" or "I didn't shower in the morning" makes the first premise true.

p. q. p -> q
T. T. T
F. T. T