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    The conditional statement

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    Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work

    I) If the garden needs watering, then the garden does not need weeding.
    II) Either the garden needs watering or the garden does not need weeding.
    III) If the garden does not need watering, then the garden does not need weeding.

    a. None are equivalent
    b. I, II, and III are equivalent
    c. I and II are equivalent
    d. I and III are equivalent
    e. II and III are equivalent

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    Solution Preview

    Let p="the garden needs watering"
    q="the garden needs weeding"

    Then the three statement in symbols ...

    Solution Summary

    In this solution, we concisely evaluate the conditional statements.