Let q(x, y) be the statement "x has sent an e-mail mes sage to y," where the domain for both x and y consists of all students in your class. Express each of these quantifi cations in english

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The expression of the quantifications in English will be:

  • There is some student in your class who has sent a message to some student in your class.
  • There is some student in your class who has sent a message to every student in your class
  • Every student in your class has sent a message to at least one student in your class.
  • There is a student in your class who has been sent a message by every student in your class
  • Every student in your class has been sent a message from at least one student in your class
  • Every student in the class has sent a message to every student in the class.

What is quantification?

Quantification simply means an important component of the mathematical language. The two commonly used quantifiers in mathematics are the universal quantifier (∀) as well as the existential quantifier (∃).

The expression of the quantifications in English is illustrated above.

Learn more about quantifications on:

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