Define empty set and give an example
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Empty or Null or Void Set
Any Set that does not contain any element is called the empty or null or void set. The symbol used to represent an empty set is – {} or φ. Examples:
Let A = {x : 9 < x < 10, x is a natural number} will be a null set because there is NO natural number between numbers 9 and 10. Therefore, A = {} or φ
Let W = {d: d > 8, d is the number of days in a week} will also be a void set because there are only 7 days in a week.
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✤ The set which had no element is called empty set.
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- A = { The collection of natural numbers less than 1 }
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