Nested Quantifiers Exercise Solutions with Discrete Mathematics Examples
In this exercise, you will learn how to express statements using quantifiers and form their negations without negation to the left of a quantifier. Examples involve scenarios such as students taking mathematics classes and someone visiting countries. Solutions and references to Discrete Mathematics resources are provided.
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Discrete Math: Nested Quantifiers Exercise 21
Exercise Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase It is not the case that. ) a) Every student in this class has taken exactly two mathematics classes at this school. b) Some one has visited every country in the world except Libya.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Le in A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson