4. Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. Then determine the truth value of each statement. Give your argument. a) axVy(x + y = y) b) VXVY(((x > 0) A (y < 0)) → (x – y > 0))

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
Section10.3: Solving Problems Involving Inequalities
Problem 28E
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4. Translate each of these nested quantifications into
an English statement that expresses a mathematical
fact. The domain in each case consists of all real
numbers. Then determine the truth value of each
statement. Give your argument.
a) aXVy(x + y = y)
b) VxVy(((x > 0) A (y < 0)) → (x - y > 0))
Transcribed Image Text:4. Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. Then determine the truth value of each statement. Give your argument. a) aXVy(x + y = y) b) VxVy(((x > 0) A (y < 0)) → (x - y > 0))
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