Answered: Discrete mathematics. Translate the…

Math

Advanced Math

Discrete mathematics. Translate the following statement into a quantified sentence.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Discrete mathematics. Translate the following statement into a quantified sentence.

Expert Solution

Step 1

Given statement is

The sets A and B are equal

Case(1) :

If the given statement is true for all sets A and B then the quantified sentence is

∀ A ∀ B ( A = B )

Case (2) :

If the given sets are exists in particular part then the quantified sentence is

∃ A ∃ B ( A = B )

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