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14 September, 15:17

Write the converse of the following true conditional statement. If the converse is false, write a counter example. If x>9, then x>0

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  1. 14 September, 15:44
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    Converse:

    If x > 0, then x > 9 is the converse of If x > 9, then x > 0.

    Step-by-step explanation:

    Given;

    If x > 9, then x > 0.

    It is a true conditional statement,

    let p : x > 9 (x is greater than nine),

    q : x > 0 (x is greater than zero).

    then the conditional statement is written in the logic form as

    p → q which is true for x

    Now the converse of p → q is given by

    q → p

    In statement, if q then p,

    i. e If x > 0, then x > 9 which is also true for x
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