English

Write down all the subsets of the following set: {a}

Advertisements
Advertisements

Question

Write down all the subsets of the following set:

{a}

Sum
Advertisements

Solution

Number of elements in given set = 1

Number of subsets of given set = 21 = 2

∴ Subsets of the given set are Φ, {a).

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - EXERCISE 1.3 [Page 12]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 1 Sets
EXERCISE 1.3 | Q 4. (i) | Page 12

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

{a, e} ⊂ {x : x is a vowel in the English alphabet}


{1, 2, 3} ⊂ {1, 3, 5}


{a} ∈ (a, b, c)


{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}


Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}


Write the given intervals in set-builder form:

[6, 12]


Write the following interval in set-builder form:

(6, 12]


Decide, among the following sets, which sets are subsets of one and another:

A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0},

B = {2, 4, 6}, C = {2, 4, 6, 8, …}, D = {6}.


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and B ∈ C, then A ∈ C


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ⊄ B, then x ∈ B


Write the number of elements in the power set of null set. 


Let A = {x : x ∈ Nx is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\] 


Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\] 


If \[A = \left\{ \left( x, y \right) : y = \frac{1}{x}, 0 \neq x \in R \right\}\]and\[B = \left\{ \left( x, y \right) : y = - x, x \in R \right\}\] then write\[A \cap B\]


If A = {1, 3, 5, B} and B = {2, 4}, then 


If A = |1, 2, 3, 4, 5|, then the number of proper subsets of A is 


In set-builder method the null set is represented by


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{{3, 4}} ⊂ A


Let A = { 1, 2, { 3, 4}, 5 }. The following statement is correct or incorrect and why?

1 ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ∈ A


Write down all the subsets of the following set:

{1, 2, 3}


Write the following interval in Set-Builder form:

(– 3, 0)


Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.


State true or false for the following statement given below:

Q ∩ R = Q, where Q is the set of rational numbers and R is the set of real numbers.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a + 1 = 6, a ∈ Y


State True or False for the following statement.

The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×