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Give an example of three sets A,B and C such that A B, B C, C 6 A and C B. 1

Chapter 2, Problem 16

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QUESTION:

Give an example of three sets A,B and C such that A B, B C, C 6 A and C B. 1

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QUESTION:

Give an example of three sets A,B and C such that A B, B C, C 6 A and C B. 1

ANSWER:

Step 1 of 2

A set is a collection of elements. The symbols  refer to “subset of” relation and refer to “proper subset” relation.

  •  means that all elements of the set  belong to the set  but .
  •  means that all elements of the set  belong to the set .
  •  means that all elements of the set  do not belong to set . Some elements of the set  can belong to the set .
  •  means that all elements of the set  belong to the set .
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