Discrete mathematics. Translate the following statement into a quantified sentence.
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.
Transcribed Image Text:The sets A and B are equal.
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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