Which of following pairs of sets are equal ? Justify your answer. mathrm{X} , set of letters in &ldq

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1.Set Theory

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Which of the following pairs of sets are equal ? Justify your answer.

$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$

Option A

Option B

Option C

Option D

Solution

We have, $X =\{ A , L , L , O , Y \}, B =\{ L , O , Y , A , L \} .$ Then $X$ and $B$ are equal sets as repetition of elements in a set do not change a set. Thus,

$X=\{A, L, O, Y\}=B$

Standard 11

Mathematics

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\varnothing \in A$

easy

State whether each of the following set is finite or infinite :

The set of circles passing through the origin $(0,0)$

easy

Write down all the subsets of the following sets

$\{ a,b\} $

easy

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} – 3x + 2 = 0\,\} .$

easy

Write the following sets in roster form :

$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

easy

Which of the following pairs of sets are equal ? Justify your answer. $\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$

Solution

Similar Questions

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ? $\varnothing \in A$

State whether each of the following set is finite or infinite : The set of circles passing through the origin $(0,0)$

Write down all the subsets of the following sets $\{ a,b\} $

Which of the following pairs of sets are equal ? Justify your answer. $A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} – 3x + 2 = 0\,\} .$

Write the following sets in roster form : $C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

Which of the following pairs of sets are equal ? Justify your answer.

$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\varnothing \in A$

State whether each of the following set is finite or infinite :

The set of circles passing through the origin $(0,0)$

Write down all the subsets of the following sets

$\{ a,b\} $

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} – 3x + 2 = 0\,\} .$

Write the following sets in roster form :

$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $