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Explanation:
1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."
If it is broccoli, then it is a vegetable.
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2. The hypothesis is the "if-" part:
(If) it is broccoli
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3. The conclusion is the "then-" part:
(then) it is a vegetable
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4. The converse interchanges the hypothesis and conclusion:
If it is a vegetable, then it is broccoli.
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5. The converse is false. A potato is a vegetable, but is not broccoli.
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6. The inverse negates the hypothesis and conclusion:
If it is not broccoli, it is not a vegetable.
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7. The inverse is false. A potato is not broccoli, but is a vegetable.
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8. The contrapositive is the inverse of the converse:
If it is not a vegetable, it is not broccoli.
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9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.