16. Consider the following quantified statement: For every real number x, there exists a positive real number y such that y < x^2. (a) Express this quantified statement in symbols. (b) Express the negation of this quantified statement in symbols. (c) Express the negation of this quantified statement in words.
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Express the given statement in symbols: For every real number x, there exists a positive real number y such that y < x. This can be written as: $\forall x \in \mathbb{R}, \exists y \in \mathbb{R^+}, y < x$ Show more…
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