Oh, isn't that a delightful question! Remember, there are many possible answers to P U Q, depending on what P and Q represent. It's like a happy little puzzle waiting for you to explore and discover its beauty. Just trust your instincts and let your creativity guide you as you find the perfect answer.
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q + p
If p then q is represented as p -> q Negation of "if p then q" is represented as ~(p -> q)
p-q
By definition, every rational number x can be expressed as a ratio p/q where p and q are integers and q is not zero. Consider -p/q. Then by the properties of integers, -p is an integer and is the additive inverse of p. Therefore p + (-p) = 0Then p/q + (-p/q) = [p + (-p)] /q = 0/q.Also, -p/q is a ratio of two integers, with q non-zero and so -p/q is also a rational number. That is, -p/q is the additive inverse of x, expressed as a ratio.
The truth values.