🚧 Setup for 3.2
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@ -25,3 +25,41 @@ true; every $x$ in $D$.
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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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---
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**Test Yourself**
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Page 152
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1. A negation for "All $R$ have property $S$" is "There is _______ $R$ that
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_______."
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exists at least one; does not have property $S$.
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2. A negation for "Some $R$ have property $S$" is "_______."
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"No $R$ have property $S$."
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3. A negation for "For every $x$, if $x$ has property $P$ then $x$ has property
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$Q$" is "_______."
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"There exists at least one $x$ such that $x$ has property $P$ and $x$ does not
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have property $Q$."
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4. The converse of "For every $x$, if $x$ has property $P$ then $x$ has property
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$Q$" is "_______."
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"For every $x$, if $x$ has property $Q$ then $x$ has property $P$."
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5. The contrapositive of "For every $x$, if $x$ has property $P$ then $x$ has
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property $Q$" is "_______."
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"For every $x$, if $x$ does not have property $Q$, then $x$ does not have
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property $P$."
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6. The inverse of "For every $x$, if $x$ has property $P$ then $x$ has property
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$Q$" is "_______."
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"For every $x$, if $x$ does not have property $P$, then $x$ does not have
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property $Q$."
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