geometry law of detachment, math homework help
geometry law of detachment, math homework help
Assume that the following statements are true.
f. If Sarah is drinking milk, then it is breakfast time
g. If it is breakfast time, then Trisha is drinking coffee and nothing else
h. If it is lunchtime, then Curtis is drinking water and nothing else
i. If it is dinnertime, then Rob is drinking iced tea and nothing else
j. Sarah is drinking milk
Using only the information given above, determine if the following statement must be true, may be true, or is not true. Explain your reasoning.
Curtis is drinking water
a. May be true. Apply the law of detachment with p→q from the statement f and p from the statement j
b. Must be true. Apply the law of syllogism with p→q from the statement f and q→r from the statement g. Apply the law of detachment with p→q from the previous conclusion and p from the statement j
c. Must be true. Apply the law of syllogism with p→q from the statement f and q→r from the statement h. Apply the law of detachment with p→q from the previous conclusion and p from the statement j
d. No argument can be used to determine the truth of the statement.
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