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4 February, 22:47

write the inverse and converse for the following statement. If a number is divisible by 2 then it is an even number

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  1. 4 February, 23:51
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    If a statement has a hypothesis and a conclusion (i. e. it is in the form "if ... then ... ")

    The inverse is the statement built negating the hypothesis and the conclusion: "if A then B" becomes "if not A then not B" The converse is the statement built exchanging hypothesis and conclusion: "if A then B" becomes "if B then A"

    So, the inverse of your statement is "if a number is not divisible by 2, then it is an odd number"

    The converse of your statement is "if a number is even, then it is divisible by 2".
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