🚧 Setup for 3.2

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tomit4 2026-05-31 17:52:15 -07:00
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@ -25,3 +25,41 @@ true; every $x$ in $D$.
only if, $Q(x)$ is _______ for _______.
true; at least one $x$ in $D$.
---
**Test Yourself**
Page 152
1. A negation for "All $R$ have property $S$" is "There is _______ $R$ that
_______."
exists at least one; does not have property $S$.
2. A negation for "Some $R$ have property $S$" is "_______."
"No $R$ have property $S$."
3. A negation for "For every $x$, if $x$ has property $P$ then $x$ has property
$Q$" is "_______."
"There exists at least one $x$ such that $x$ has property $P$ and $x$ does not
have property $Q$."
4. The converse of "For every $x$, if $x$ has property $P$ then $x$ has property
$Q$" is "_______."
"For every $x$, if $x$ has property $Q$ then $x$ has property $P$."
5. The contrapositive of "For every $x$, if $x$ has property $P$ then $x$ has
property $Q$" is "_______."
"For every $x$, if $x$ does not have property $Q$, then $x$ does not have
property $P$."
6. The inverse of "For every $x$, if $x$ has property $P$ then $x$ has property
$Q$" is "_______."
"For every $x$, if $x$ does not have property $P$, then $x$ does not have
property $Q$."