Give a mathematical Sentence applying the quantifiers then translate into symbols
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Quantifiers ;
Explanation:
- Quantifiers are expression or phrases that indicate the number of objects that a statement pertains to.
- There are two quantifiers in mathematical logic ; existential nd universal quantifiers .
- The symbol ∀ and ∈ are called quantifiers as ,∀ stands for the phrase “For all” or “For every,” or “For each,”
- The symbol ∃ stands for the phrase “There exists a” or “There is a.”
Example:- The statement is
For every n ∈ Z, 2n is even,
can be translate into symbols either of the following ways:
∀n ∈ Z, 2n is even,
∀n ∈ Z, E(2n)
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