Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.1 Statements, Negations, and Quantified Statements - Concept and Vocabulary Check - Page 119: 9

Answer

Some $A$ are not $B$

Work Step by Step

The negation of “All $A$ are $B$” is "Some $A$ are not $B$" because "All" turns into "Some" and "are" turns into "are not". For example the negation of "All birds are mortal" can be expressed as" Some birds are not mortal."
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