Worksheet on Empty Sets

Worksheet on empty sets will help us to practice different types of questions to state whether the sets are empty or not. We know, the set which contains no element is called an empty set. It is also known as null set or void set.

1. Which of the following sets are empty?

(i) Set of counting numbers between 5 and 6.

(ii) Set of odd numbers between 7 and 19.

(iii) Set of odd numbers between 7 and 9.

(iv) Set of even numbers which are not divisible by 2.

(v) {0}

(vi) { }

(vii) {Prime numbers between 7 and 11}

(viii) {x | x ∈ N and 3< x < 4}

 

2. State, whether or not the following sets are empty:

(i) {1, 4, 7, 10, ………, 31}

(ii) {Month having more than 31 days}

(iii) {x | x\(^{2}\) = 0}

(iv) {x | x ∈ N and x < 1}

(v) {Prime numbers divisible by 2}

(vi) {Negative natural numbers}

(vii) {Women who are 5 meter tall}

(viii) {Men with four legs}

(ix) {Integers less than 5}

(x) {A week having 10 days}

(xi) {People who are 500 years old}

(xii) {Prime numbers between 17 and 23}

(xiii) {Set of even numbers, not divisible by 2}

(xiv) {Set of multiples of 3, which are more than 9 and less than 15}


Answers for the worksheet on empty sets are given below to check the exact answers of the above set of questions are empty set or not empty set.


Answers:


1. (i) Empty set

(iii) Empty set

(iv) Empty set

(vi) Empty set

(vii) Empty set

(viii) Empty set


2. (i) Not empty set

(ii) Empty set

(iii) Not empty set

(iv) Empty set

(v) Not empty set

(vi) Empty set

(vii) Empty set

(viii) Empty set

(ix) Not empty set

(x) Empty set

(xi) Empty set

(xii) Not empty set

(xiii) Empty set

(xiv) Not empty set

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Worksheet on Empty Sets

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Worksheet on Disjoint Sets and Overlapping Sets

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