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  • one year ago

True or false? If you took a true "if-then statement and inserted a not in each clause, the new statement would also be true

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  1. mathmate
    • one year ago
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    Given the following statement if p then q .....(1) is true then there are three possibilities if ~p then ~q ....(2) is the inverse of the statement, which is not always true when (1) is true. if ~q then ~p .....(3) is the contrapositive, it is equivalent to statement (1), so whenever (1) is true, then (3) is true. if q then p ....(4) is the converse, and is not always true even when (1) is true. Based on the above hints, you should be able to figure out the answer. To give an example: If bananas cost $0.50 each, I will buy one .....(A).... assume that this is true. If bananas don't cost $0.50 each, I won't buy any. ........ (B) ....... it may cost $2.00 each , in which case I don't buy. ........it may cost $0.10 each, in which case I \(might\) buy one. So if (A) is true, (B) may or may not be true, in other words, (B) is not always true.

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