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Math Help - Does the order of statements affect the truth value of an implication statement?

  1. #1
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    Does the order of statements affect the truth value of an implication statement?

    The problem I did is below. I wasn't sure if for B=>A I was to "reverse" the way I looked at the table to do the computation or if I had to rewrite the table to have B be the first column and A be the second column. (B=>A) would then have the same truth value in each row as (A=>B).




    The exercise I was suppose to do:

    Construct the truth table for the compound statement (B=>A)<=>(A=>B). What
    does the truth table tell you about the two statements B=>A and A=>B?

    My Solution:

    A B (A=>B) (B=>A) (B=>A)<=>(A=>B)
    T T T T T
    T F F T F
    F T T F F
    F F T T T

    The truth table says that B=>A and A=>B are true only when both A and B are either True or False. In other words, when the converse is true or when A <=> B.
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  2. #2
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    Re: Does the order of statements affect the truth value of an implication statement?

    Hey Elusive1324.

    You work looks good: are you asking us to verify your answer?
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  3. #3
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    Re: Does the order of statements affect the truth value of an implication statement?

    Yes. Great, thank you.

    There wasn't an answer explanation for this exercise.
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