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If it is springtime, you will plant flowers in the garden. If you plant flowers in the garden, your yard will smell good. What conclusion can you make from the statements above? Which law did you use to come up with your conclusion? A. If your yard smells good, then it is springtime. law of syllogism B. If your yard smells good, then it is springtime. law of detachment C. If it is springtime, then your yard will smell good. law of syllogism D. If it is springtime, then your yard will smell good. law of detachment

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If you use conditional statement and another statement that he hypothesis (the part following if) of the conditional then you use the law of detachment.
If you use two conditionals and the hypothesis of one matches the conclusion of the other. (If p, then q)  then you use the law of syllogism.
Let's analyse the given sentence: "If it is springtime, you will plant flowers in the garden. If you plant flowers in the garden, your yard will smell good."
According thelaw of syllogism the following is true:
C. it is springtime, then your yard will smell good. law of syllogism

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