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13 August, 04:23

Which is the converse of the conditional statement and is it true or false?

If a number is a whole number, then it is a rational number.

If a number is not a whole number, then it is not a rational number. The converse is false.

If a number is a rational number, then it is a whole number. The converse is false.

If a number is not a rational number, then it is a whole number. The converse is false.

If a number is not a rational number, then it is not a whole number. The converse is true.

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  1. 13 August, 04:39
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    If a number is not a rational number, then it is not a whole number. The converse is true.

    ---> the sentence above is the only one that has true condition, true hypothesis and true conclusion.

    You see:

    > If a number is not a whole number, then it is not a rational number. The converse is false. (converse must be true)

    > If a number is a rational number, then it is a whole number. The converse is false. (converse must be true)

    > If a number is not a rational number, then it is a whole number. The converse is false. (hypothesis should've been "then it is not a whole number")

    In the Law of Detachment, if both conditional and hypothesis are true, then the conclusion is true.

    All whole numbers are rational numbers.

    In the "If-the"n form: If a number is whole, then it is rational.

    Given: 5 is a whole number.

    Conclusion: 5 is rational.
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