Question

Which of the following are null sets or singleton?
(i) D = {The set of largest 1 digit number}which of the following are null set on the set of largest 1 digit number ​

Answer 1

Answer:

9 is the largest 1 digit number and it will not become null set

Answer 2

D = {The set of largest 1 digit number} is a singleton set.

Step-by-step explanation:

• A null set is a set which contains no element, or to be precise, contains ∅. That is, if A is a null set then A:= ∅
• A singleton set is a set containing a single element, that is, only one element is present in a singleton set.
• Now, we know that the one digit numbers in the real number set are the natural numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
• So, the largest one digit number is nine.
• Here, according to the given information the set D is defined to be the set of largest one digit number.
• Therefore the set D contains only the digit 9, that is, D={9}

Hence, D is a singleton set since a singleton set is a set containing a single element, that is, only one element is present in a singleton set.

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