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Following set notations represent: – A ⊂ B; x∉ A; A ⊃B; {0}; A ⊄B
  • a)
    A is a proper subset of B; x is not an element of A; A contains B; singleton with an only element zero; A is not contained in B
  • b)
    A is a proper subset of B; x is an element of A; A contains B; singleton with an only element zero; A is contained in B
  • c)
    A is a proper subset of B; x is not an element of A; A does not contains B; contains elements other than zero; A is not contained in B
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
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Following set notations represent: A B; x A; A B; {0}; A Ba)A is a p...
Set Notations and Their Representations

Set notation is a way of representing a set of numbers or objects. The following set notations represent different relationships between two sets A and B, and an element x.

1. A ⊂ B (A is a proper subset of B)
This set notation means that all elements in set A are also present in set B, but set B may have more elements than set A. In other words, A is a subset of B, but not equal to B.

2. x ∉ A (x is not an element of A)
This set notation means that x is not present in set A.

3. A ⊃ B (A contains B)
This set notation means that all elements in set B are also present in set A. In other words, A is a superset of B.

4. {0} (singleton with an only element zero)
This set notation represents a singleton set, which contains only one element, zero.

5. A ⊂ B and x ∈ A (A is a proper subset of B and x is an element of A)
This set notation means that A is a subset of B, but not equal to B, and x is present in set A.

6. A ⊆ B (A is contained in B)
This set notation means that all elements in set A are also present in set B. In other words, A is a subset of B or equal to B.

7. A ⊂ B and {0} ∈ A (A is a proper subset of B and A contains zero)
This set notation means that A is a subset of B, but not equal to B, and A contains the element zero.

8. A ⊂ B and A ∩ B = ∅ (A is a proper subset of B and A does not contain B)
This set notation means that A is a subset of B, but not equal to B, and A does not have any elements in common with B.

Therefore, option A correctly represents the relationship between sets A and B, where A is a proper subset of B.
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Following set notations represent: A B; x A; A B; {0}; A Ba)A is a proper subset of B; x is not an element of A; A contains B; singleton with an only element zero; A is not contained in Bb)A is a proper subset of B; x is an element of A; A contains B; singleton with an only element zero; A is contained in Bc)A is a proper subset of B; x is not an element of A; A does not contains B; contains elements other than zero; A is not contained in Bd)NoneCorrect answer is option 'A'. Can you explain this answer?
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Following set notations represent: A B; x A; A B; {0}; A Ba)A is a proper subset of B; x is not an element of A; A contains B; singleton with an only element zero; A is not contained in Bb)A is a proper subset of B; x is an element of A; A contains B; singleton with an only element zero; A is contained in Bc)A is a proper subset of B; x is not an element of A; A does not contains B; contains elements other than zero; A is not contained in Bd)NoneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Following set notations represent: A B; x A; A B; {0}; A Ba)A is a proper subset of B; x is not an element of A; A contains B; singleton with an only element zero; A is not contained in Bb)A is a proper subset of B; x is an element of A; A contains B; singleton with an only element zero; A is contained in Bc)A is a proper subset of B; x is not an element of A; A does not contains B; contains elements other than zero; A is not contained in Bd)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following set notations represent: A B; x A; A B; {0}; A Ba)A is a proper subset of B; x is not an element of A; A contains B; singleton with an only element zero; A is not contained in Bb)A is a proper subset of B; x is an element of A; A contains B; singleton with an only element zero; A is contained in Bc)A is a proper subset of B; x is not an element of A; A does not contains B; contains elements other than zero; A is not contained in Bd)NoneCorrect answer is option 'A'. Can you explain this answer?.
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