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 $“\mathrm{LOYAL}”.$

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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,

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

Similar Questions

Write the following intervals in set-builder form :

$\left( { - 3,0} \right)$

Write the following as intervals :

$\{ x:x \in R, - 12\, < \,x\, < \, - 10\} $

Which of the following are examples of the null set

Set of even prime numbers

Write down all the subsets of the following sets

$\emptyset $

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If $A \not\subset B$ and $B \not\subset C,$ then $A \not\subset C$