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Big Ideas Math Integrated I, 2016 View details

1. Conditional Statements

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Exercise 61 Page 450

Write a statement involving dates.

If it is New Year's Eve, then the month is December.

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A typical conditional statement that is true but the converse is false are statements involving dates. For example, we know that New Year's Eve is in December, which we can write as the following conditional statement. If it is New Year's Eve, then the month is December. The converse of a conditional statement, q→ p, exchanges the hypothesis and the conclusion of the conditional statement. If the month is December, then it is New Year's Eve. This is however not a true statement, since December has more days then just New Year's Eve.