Find the negation of the following statements: 1. Any rectangular triangle has a right angle. 2. In all the stables, the horses are black. 3. For any integer x € Z, there exists an integer y € Z such that, for any z Z, the inequality z 0 a > 0/x-7/5|

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.4: Solving Combined Inequalities
Problem 39WE
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Find the negation of the following statements:
1. Any rectangular triangle has a right angle.
2. In all the stables, the horses are black.
3. For any integer x € Z, there exists an integer y € Z such that, for any z Z, the inequality
z <a implies z <x+1.
4. Ve >0 a > 0/x-7/5| <a⇒ 5x - 7| < e.
Transcribed Image Text:Find the negation of the following statements: 1. Any rectangular triangle has a right angle. 2. In all the stables, the horses are black. 3. For any integer x € Z, there exists an integer y € Z such that, for any z Z, the inequality z <a implies z <x+1. 4. Ve >0 a > 0/x-7/5| <a⇒ 5x - 7| < e.
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