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Negation Mathematics

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1. Write the negation of: I will sleep only if I am tired.

2. Write the following sentence in if...then form:

I will drive if it is Wednesday.

3. Write the contrapositive of the following statement and simplify:

(~ p ^ q ) --> (r V ~ p)
PS: ^ = upside down V

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Solution Summary

This solution explains writing negation equations, the form 'if...then', writing a contrapositive statement and simplifying the statement. This solution is also formatted as an attached Word document.

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1. negation can be open or closed. Closed means there is only one truth, open means it is true but it depends on a variable.
I will not sleep only if I am tired.

2. Example of an open sentence. Remember the If -Then negations still must ...

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