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Big Ideas Math Integrated I, 2016 View details

1. Conditional Statements

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Exercise 47 Page 448

What statement is equivalent to the contrapositive?

No, it will not help. See solution.

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A conditional statement and its contrapositive are logically equivalent. If one of these statements is true so is the other, and vice-versa. Conditional ✓ ⇔ Contrapositive ✓ However, to write a biconditional statement the conditional statement and its converse have to both be true. Conditional & Converse ✓ ⇓ Biconditional ✓ The contrapositive tells you nothing about the truth value of the converse, and therefore we cannot conclude that the statement can be written as a biconditional statement.