Proper Set
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Q.
What is the total number of proper subsets of a set consisting of n elements ?
Q.
Write down all possible proper subsets each of the following sets :
(i) {1, 2} (ii) {1, 2, 3}
(iii) {1}
Q. Write down all the subsets of the following sets:
(i) {a} (ii){a, b}
(iii){1, 2, 3} (iv) ϕ
(i) {a} (ii){a, b}
(iii){1, 2, 3} (iv) ϕ
Q. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:
(i) {2, 3, 4}...{1, 2, 3, 4, 5}
(ii) {a, b, c}...{b, c, d}
(iii) {x:x is a student of class XI of your school}...{x:x is a student of your school}
(iv) {x:x is a circle in the plane}...{x:x is a circle in the same plane with radius 1 unit}
(v) {x:x is a triangle in a plane} {x:x is a rectangle in the plane}
(vi) {x:x is an equilateral triangle in a plane}...{x:x is a triangle in the same plane}
(vii) {x:x is an even natural number}...{x:x is an integer}
(i) {2, 3, 4}...{1, 2, 3, 4, 5}
(ii) {a, b, c}...{b, c, d}
(iii) {x:x is a student of class XI of your school}...{x:x is a student of your school}
(iv) {x:x is a circle in the plane}...{x:x is a circle in the same plane with radius 1 unit}
(v) {x:x is a triangle in a plane}
(vi) {x:x is an equilateral triangle in a plane}...{x:x is a triangle in the same plane}
(vii) {x:x is an even natural number}...{x:x is an integer}
Q. Write down all possible proper subsets of the following set:
(i) {1, 2}
(i) {1, 2}
Q. Write proper subsets of B={a, b, c}
Q. If N is a set of all natural numbers and Q is a set of all rational numbers, then which of the following is a correct representation for these two sets?
Q.
The number of proper subsets of the set {1, 2, 3} is ___.
8
7
6
5
Q. Set of natural numbers A = {x:x ∈N} is a proper subset of which of the following
- Set of whole numbers A1={x:x∈W}
- Set of Real numbers A2={x:x∈R}
- Set of Integers A3={x:x∈I}
- All of the above.
Q.
When is A called proper subset of B?
A = B
A ≠ B
Both A & B
Both A & C
A ⊂ B
Q.
The number of proper subsets of the set {1, 2, 3} is ___.
8
7
6
5
Q. Set of natural numbers A = A={x:xϵN} is a proper subset of which of the following
- Set of whole numbers A1={x:xϵW}
- Set of Real numbers A2={x:xϵR}
- Set of Integers A3={x:xϵI}
- All of the above.
Q. Lists all the proper subsets of the set P= {2, 4, 6}?
Q. write the proper subsets of A={1, 2, 3}
Q. If a set A is a subset of set B, this means each and every element of set B is in set A.
- False
- True