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What is the negation of '∃x P(x)'?
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∃x NOT P(x)
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∀x ¬P(x)
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∀x NOT P(x)
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∃x P(x)
That's Correct!
It's Wrong!
The correct negation of '∃x P(x)' is: ∀x ¬P(x)
This is read as "For all x, P(x) is not true" or "It is not the case that there exists an x for which P(x) is true." It asserts that for every x, the property P(x) is not true.
