geometry deductive reasoning math homework help

Assume that the following statements are true.

k. If Kira is drinking water, then it is breakfast time

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l. If it is breakfast time, then Maria is drinking juice and nothing else

m. If it is afternoon, then Sarah is drinking milk and nothing else

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n. If it is dinnertime, then Julio is drinking juice and nothing else

o. Kira is drinking water

Using only the information given above, determine if the following statement must be true, may be true, or is not true. Explain your reasoning.

It is breakfast time.


a. Must be true. Apply the law of detachment with p→q from the statement k and p from the statement o

b. Must be true. Apply the law of syllogism with p→q from the statement k and q→r from the statement l. Apply the law of detachment with p→q from the previous conclusion and p from the statement o

c. Must be true. Apply the law of syllogism with p→q from the statement k and q→r from the statement l. Apply the law of detachment with p→q from the statement l and p from the statement o

d. No argument can be used to determine the truth of the statement.


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