Question

Which of the following sets are equal?(i) A = {x : x is a letter in the word FOLLOW}(ii) B = {x : x is a letter in the word FLOW}(iii) C = {x : x is a letter in the word WOLF}

Answer 1

Set A,B&C all are equal

Answer 2

$\underline {\pink { Equal\:sets :}}$

Two sets , A and B are said to be equal if every element in A belongs to B and every element in B belongs to A.

$Here , i) A = \{x : x \:is \: a \: letter \: in \:the \\word \blue {FOLLOW } \}$

$A = \{ F,O,L,W \} \: ---(1)$

$ii )B = \{x : x \:is \: a \: letter \: in \:the \\word \blue {FLOW } \}$

$B = \{ F,L,O,W \} \: ---(2)$

$iii ) C = \{x : x \:is \: a \: letter \: in \:the \\word \blue {WOLF } \}$

$A = \{ W,O,L,F \} \: ---(3)$

/* From (1), (2) and (3), we conclude that */

$\green { A = B = C }$

•••♪