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Published in:
2011 | OriginalPaper | Chapter
Set Notation and Quantifiers
Authors : Ulrich Daepp, Pamela Gorkin
Published in: Reading, Writing, and Proving
Publisher: Springer New York
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Consider the sentence “The equation
x
2
+2
x
= 15 has a unique solution.” Thus far, we’ve approached such things intuitively. It’s time now to tackle this head on. Is it true? False? It depends on which x we have in mind, of course.We turn to a rigorous way to make our sentence
x
2
+2
x
= 15 into a statement. But before we get to the heart of this chapter, it will be useful to have notation for the things with which we frequently work.