If the conditional statement “If you live in Boise, then you live in Idaho,” is true, then which other statement must be true? A. If you do not live in Idaho, then you live in Boise. B. If you do not live in Boise, then you do not live in Idaho. C. If you do not live in Idaho, then you do not live in Boise. D. If you live in Idaho, then you live in Boise.
Mathematics · High School · Mon Jan 18 2021
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B. If you do not live in Boise, then you do not live in Idaho.
The given conditional statement is "If you live in Boise, then you live in Idaho." In the context of this statement being true, it means that Boise is in Idaho. Therefore, if you do not live in Boise (the antecedent is false), the consequent (living in Idaho) is also false. So, option B accurately represents the logical relationship between living in Boise and living in Idaho based on the given conditional statement.