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Published byBeverley Richards Modified over 9 years ago
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The only time a conditional statement is false is if you can find a time when the “IF” part is true and the “THEN” part is false
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If the school is closed, then it is Saturday. There is another day when the school is closed but it is not Saturday: Sunday Therefore, this conditional statement is false.
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If you teach geometry, then your name is Mrs. Wenter. There is another teacher who teaches geometry but their name is not Mrs. Wenter Mr. Mottola Therefore, this conditional statement is false.
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Biconditional – the combination of a true statement and its true converse. Rewritten with the combining phrase "if and only if".
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Conditional: If x is a prime number, then x has exactly two factors. True Converse: If x has exactly two factors, then x is a prime number. True Biconditional: X is a prime number if and only if x has exactly two factors.
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Conditional: If I am alive, then my heart is beating True Converse: If my heart is beating, then I am alive. True Biconditional: I am alive if and only if my heart is beating.
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