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3.2.2.1: Exercises

  • Page ID
    93133
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    Conditional Statements

    1. Consider the statement “If you are under age 17, then you cannot attend this movie.”  Identify the two simpler statements used in this conditional statement.   
      1. Write the converse.
      2. Write the inverse.
      3. Write the contrapositive.
    2. Assume that the statement “If you swear, then you will get your mouth washed out with soap” is true. Which of the following statements must also be true?
      1. If you don’t swear, then you won’t get your mouth washed out with soap.
      2. If you don’t get your mouth washed out with soap, then you didn’t swear.
      3. If you get your mouth washed out with soap, then you swore.
    3. Write the negation of each conditional statement.
      1. If you don’t look both ways before crossing the street, then you will get hit by a car.
      2. If Luke faces Vader, then Obi-Wan cannot interfere.
      3. If you weren’t talking, then you wouldn’t have missed the instructions.

    3.2.2.1: Exercises is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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