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If ~ p: 2+2=4 what is p? 2x2=4 , 2x2≠4 , 2+2=4 , 2+2≠4

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Final answer:

The proposition p, given that ~p is '2+2=4', would be the negation of that statement, which logically is '2+2≠4' representing a falsehood since '2+2=4' is true.

Step-by-step explanation:

If ~p represents the statement '2+2=4', then the proposition p represents the opposite or negation of that statement. Given the options provided, the correct representation of p would be '2+2≠4', which reads as '2+2 does not equal 4'. This is because the tilde (~) symbol is often used in logic to denote negation. It is important to note that negating a true statement results in a false statement, and since '2+2=4' is a true statement, its negation '2+2≠4' would be a false statement.

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