Suppose x, y, z E N and A C N. 1. Write down the converse of the following statement. If x € A then x + 1 ¢ A. 2. Write down the negation of the following statement. There is an element w E A such that x < w < y. 3. Write down the contrapositive of the following statement. If z? e A then either z e A or z is greater than both x and y.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose x, y, z E N and A C N.
1. Write down the converse of the following statement.
If x E A then x + 1 ¢ A.
2. Write down the negation of the following statement.
There is an element w E A such that x < w < y.
3. Write down the contrapositive of the following statement.
If z? e A then either z E A or z is greater than both x and y.
Transcribed Image Text:Suppose x, y, z E N and A C N. 1. Write down the converse of the following statement. If x E A then x + 1 ¢ A. 2. Write down the negation of the following statement. There is an element w E A such that x < w < y. 3. Write down the contrapositive of the following statement. If z? e A then either z E A or z is greater than both x and y.
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