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The converse of the statement “if x > y then x = 3y”  is  “if x = 3y then x > y ”Group startsTrue or FalseTrue, unselectedFalse, unselected

Question

The converse of the statement “if x > y then x = 3y”  is  “if x = 3y then x > y ”Group startsTrue or FalseTrue, unselectedFalse, unselected

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Solution

False. The converse of a statement switches the hypothesis and the conclusion. So, the converse of the statement “if x > y then x = 3y” is “if x = 3y then x > y”. However, this does not necessarily mean that the converse is true. The truth of the original statement does not guarantee the truth of the converse.

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