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Define singleton set....

Define singleton set.

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### Step-by-Step Text Solution: 1. **Definition of a Set**: A set is a collection of distinct objects, considered as an object in its own right. 2. **Understanding Singleton Set**: A singleton set is a specific type of set that contains exactly one element. 3. **Example of a Singleton Set**: For instance, if we have a set A = {3}, this set A is a singleton set because it contains only one element, which is the number 3. 4. **Notation**: The number of elements in a singleton set is always 1. This can be denoted as |A| = 1, where A is the singleton set. 5. **Conclusion**: Therefore, a singleton set is defined as a set that has exactly one element.
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Knowledge Check

  • Consider the following statements : 1. Any set A is comparable with itself . 2. {0} is a singleton set. 3. {phi} is a n empty set. Of these statements, the correct ones are :

    A
    1 and 2
    B
    2 and 3
    C
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    D
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    A
    1 and 2
    B
    2 and 3
    C
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    D
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  • A is set of the factors of 28, b is a set of the factors of 17 and C is a set of the odd multiples of 7 less than 50. Which of the following are singleton sets ? (A) A nn B (ii) C nn B (C) A nn C

    A
    Only (A) and (B)
    B
    Only (B) and (C)
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    D
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