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
● Sets and Venndiagrams Worksheets
● Worksheet on Elements Form a Set
● Worksheet to Find the Elements of Sets
● Worksheet on Properties of a Set
● Worksheet on Sets in Roster Form
● Worksheet on Sets in Setbuilder Form
● Worksheet on Finite and Infinite Sets
● Worksheet on Equal Sets and Equivalent Sets
● Worksheet on Union and Intersection of Sets
● Worksheet on Disjoint Sets and Overlapping Sets
● Worksheet on Difference of Two Sets
● Worksheet on Operation on Sets
● Worksheet on Cardinal Number of a Set
Math Home Work Sheets
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