(1) Given two sets S₁ and S₂, compute their union.OL= {U< $₂>= : S₁, S₂, and S3 are sets and S3 is the union of S₁ and S₂.}.The other answer is incorrect.

Answered: (1) Given two sets S₁ and S₂, compute…

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

(1) Given two sets S₁ and S₂, compute their union.
OL= {<S₁>U< $₂>= <S3>: S₁, S₂, and S3 are sets and S3 is the union of S₁ and S₂.}.
The other answer is incorrect.

Expert Solution

Step 1: union of two set definition

we want to know that the definition of union of two set

union of two set means the set containing all the elements in the given two sets

therefore we want to know the union of $S subscript 1 space end subscript a n d space S subscript 2$

the set $S subscript 3 w h i c h space c o n t a i n s space a l l space t h e space e l e m e n t s space i n space S subscript 1 space end subscript a n d space S subscript 2 i. e. open curly brackets S subscript 3 close curly brackets equals open curly brackets S subscript 1 close curly brackets union open curly brackets S subscript 2 close curly brackets$