27 lines
822 B
Markdown
27 lines
822 B
Markdown
**Test Yourself**
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Page 141
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1. If $P(x)$ is a predicate with domain $D$, the truth set of $P(x)$ is denoted
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_______. We read these symbols out loud as _______.
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$\{x \in D | P(x)\}$; "the set of all $x$ in $D$ such that $P(x)$."
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2. Some ways to express the symbol $\forall$ in words are _______.
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for every for all, for any, for each, for arbitrary, given any
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3. Some ways to express the symbol $\exists$ in words are _______.
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there exists, there exist, there exists at least one, for some, for at least
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one, we can find a
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4. A statement of the form $\forall x \in D$, $Q(x)$ is true if, and only if,
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$Q(x)$ is _______ for _______.
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true; every $x$ in $D$.
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5. A statement of the form $\exists x \in D$ such that $Q(x)$ is true if, and
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only if, $Q(x)$ is _______ for _______.
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true; at least one $x$ in $D$.
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