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1.5 Try it Out 2 Discrete Math
๐: Express the negation of the statement โxโy(xy = 1) so that no negation
precedes a quantifier. help me to solve this
๐ค: Sure! To express the negation of the statement โxโy(xy = 1), we can use the following formula:
ยฌ(โxโy(xy = 1))
In this formula, the negation operator ยฌ is used to indicate that the statement inside the parentheses is false. Since there are no quantifiers before the negation operator, the negation precedes the quantifier as you requested.
So, the entire formula can be read as "It is not the case that for every x, there exists y such that xy equals 1."
๐: simplify that
๐ค: Certainly! Here's a simplified version of the formula:
ยฌโxโy(xy = 1)
I hope this helps! Let me know if you have any further questions or need additional assistance.