Quantifier And their Negation

In this presentation we will learn concept of Quantifier and negation of quantifier also know about Existential quantifier and universal quantifier.
After that we will able to solve the problem related this topic.
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1. We have to learn, Quantifier Negation Of Quantifier

2. Quantifier The use of phrases like ‘ there exists ’ and ‘ for all ’ or ‘ for every’ is abundant in mathematics . These phrases are called as Quantifiers . Example: For every a set A , 2. There exists a real number x such that . .

3. Symbol ‘ There exists ’ is represented by ‘ For all ’or ‘For every ’is represented by is called an Existential Quantifier. is called a Universal Quantifier.

4. Negation of Quantifier The negation of Existential quantifier will be Universal quantifier and vice versa . ~(there exists p) = for all ( ~p ) or ~(for all p) = there exists ( ~p ) or

5. Examples Find the negation of given statement: 1. For every 2 . There exists such that Answer: 1. There exists such that 2 . For every ,

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