Question

3. Which of the following sets are equivalent or unequal or equal sets?
(i) A = The set of vowels in the English alphabets.
B = The set of all letters in the word “VOWEL”
(ii) C = {2,3,4,5}
D = { x : x ∈W, 1< x<5}
(iii) E = The set of A={ x : x is a letter in the word “LIFE”}
F = {F, I, L, E}
(iv) G = {x : x is a prime number and 3 < x < 23}
H = {x : x is a divisor of 18}

Answer 1

BELOW IS UNEQUAL

(i) A = The set of vowels in the English alphabets.
B = The set of all letters in the word “VOWEL”


BELOW IS UNEQUAL

(ii) C = {2,3,4,5}
D = { x : x ∈W, 1< x<5}


BELOW ARE EQUAL OR EQUIVALENT (the letters in LIFE and the same letters in FILE)

(iii) E = The set of A={ x : x is a letter in the word “LIFE”}
F = {F, I, L, E}


BELOW IS UNEQUAL

(iv) G = {x : x is a prime number and 3 < x < 23}
H = {x : x is a divisor of 18}

Answer 2

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Equal sets :

If A and B are two sets.

If every element in set A belongs

to set B and every element in B

belongs to A .

Then A and B are said to be equal

sets and is written as A = B

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Here ,

i ) A = { a , e , i , o , u }

ii ) B = { v , o , w , e , l }

iii ) C = { 2 , 3 , 4 , 5 }

iv ) D = { 2 , 3 , 4 }

v ) E = { l , i , e , f }

vi ) G = { 5 , 7 , 11 , 13 , 17 , 19 }

vii ) H = { 1 , 2 , 3 , 6 , 9 , 18 }

1 ) Equity sets :

( A, B ) , ( C , E ) , ( G , H )

2 ) Unequal sets :

A≠ B ≠ C ≠ D ≠ E ≠ G ≠ H

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