Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.8 - Proof Methods and Strategy - Exercises - Page 108: 15

Answer

a)The given statement expresses that there exists an X such that for every value by y: p(y) is true if and only if x = Y or in other words of p(x) can only be true if y is x. thus statement Express is that there exists only one statement x for which P(x) is true. b)The given statement expresses that there exists an element X in the domain for which P(x) is true if there exists more than one element for which P(x) is true then two Elements have to be the same element does this statement expresses that there is this only one such element x for which P(x) is true. c) The given statement expresses that there exist any element of in the domain for true if P(x) is true and if P(x) is true for another element that is element has two equal x, this statement Express is that there exists only one such element x for weak P(x) this true.

Work Step by Step

a)The given statement expresses that there exists an X such that for every value by y: p(y) is true if and only if x = Y or in other words of p(x) can only be true if y is x. thus statement Express is that there exists only one statement x for which P(x) is true. b)The given statement expresses that there exists an element X in the domain for which P(x) is true if there exists more than one element for which P(x) is true then two Elements have to be the same element does this statement expresses that there is this only one such element x for which P(x) is true. c) The given statement expresses that there exist any element of in the domain for true if P(x) is true and if P(x) is true for another element that is element has two equal x, this statement Express is that there exists only one such element x for weak P(x) this true.
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