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### Grade 8 - Mathematics4.24 The Null Set or Empty Set or Void Set

 Null Set: A null set is a set with no elements in it. The null set is some times also denoted as empty set or void set. The null set is denoted by Æ. It cal also denoted as {}. Therefore, Æ = {}. Things to be noted: 1. Æ, {0} and {Æ} are three different sets. 2. Empty set is denoted by Æ or {}. 3. {0} is a set containing the single element 0 in it. 4. {Æ} is a set whose one element is Æ. Therefore {0} and {Æ} are not null sets. Example: 1. There are no natural numbers that are less than zero. 2. There are no odd numbers that have remainder zero when divided by 2. Directions: State which of the given sets are empty. Also write at least 10 examples of your own.
 Q 1: B = {x/x+6 = 6}, x Î Z.Not an empty setAn empty set Q 2: The set of all triangles in a plane having the sum of three angles is less than 180°.Not an empty setAn empty set Q 3: B = {x/x+5 = 5}, x Î W.An empty setNot an empty set Q 4: B = {x/x+8 = 8}, x Î Q.An empty setNot an empty set Q 5: B = {x/x+5 = 5}, x Î N.An empty setNot an empty set Q 6: The set of even prime numbers greater than 3.An empty setNot an empty set Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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