geometry deductive reasoning, math homework help
Assume that the following statements are true:
a. If Mario is drinking juice, then it is dinnertime
b. If it is breakfast time, then Anna is drinking water and nothing else
c. If it is dinnertime, then Sarah is drinking milk and nothing else
d. If it is lunchtime, then Kira is drinking iced tea and nothing else
e. Mario is drinking juice
Using only the information given above, determine if “Sarah is drinking milk” must be true, may be true, or is not true. Explain your reasoning.
a. May be true. Apply the law of detachment with p→q from the statement a and p from the statement e
b. Must be true. Apply the law of syllogism with p→q from the statement c and q→r from the statement a. Apply the law of detachment with p→q from the previous conclusion and p from the statement e
c. Must be true. Apply the law of syllogism with p→q from the statement a and q→r from the statement c. Apply the law of detachment with p→q from the previous conclusion and p from the statement e
d. No argument can be used to determine the truth of the statement.
