Express the 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. "There exists a cat that can swim".  Translate these statements into English, where D(x) is "x is a rabbit"and B(x) is "x barks" and the domain consists of all animals. ∀×(D(x) → B(x)) and catch fish."

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.1: Review Of Real Numbers And Their Properties
Problem 6ECP: Use inequality notation to represent the statement “x is less than 4 and at least 2 .”
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Express the 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. "There exists a cat that can swim". 
Translate these statements into English, where D(x) is "x is a rabbit"and B(x) is "x barks" and the domain consists of all animals. ∀×(D(x) → B(x)) and catch fish."

 

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