🚧 Setup for 4.2

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tomit4 2026-06-06 21:41:04 -07:00
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@ -32,3 +32,33 @@ property.
$x$ is a particular but arbitrarily chosen element of the set $D$ that makes the
hypothesis $P(x)$ true; $x$ makes the conclusion $Q(x)$ true.
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**Test Yourself**
Page 204
1. The meaning of every variable used in a proof should be explained with
______.
2. Proofs should be written in sentences that are ______ and ______.
3. Every assertion in a proof should be supported by a ______.
4. The following are some useful "little words and phrases" that clarify the
reasoning in a proof:
______, ______, ______, ______, and ______.
5. A new thought or fact that does not follow as an immediate consequence of the
preceding statement can be introduced by writing ______, ______, ______,
______, or ______.
6. To introduce a new variable that is defined in terms of previous variables,
use the word ______.
7. Displaying equations and inequalities increases the ______ of a proof.
8. Some proof-writing mistakes are ______, ______, ______, ______, ______,
______, and ______.