2.) Classify the following as an empty set or a singleton set or a finite set.
a. A = {x:x € 2,0
b. B = {set of all natural satellites of the earth}
c. X = {set of all women prime ministers of India}
d. Y = {set of vowels in the word 'follow'}
e. P = {set of vowels not in the word 'Constantinople'}
f. Q = {x:x € N and x is a multiple of 11 between 100 and 110}
g. A = {x: X € Z, -1
h. B = {set of vowels not in word equitorial}
i. C = {x:X N and x is prime number, 23 < x < 29}
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Answer:
of vowels not in the word 'Constantinople'}
f. Q = {x:x € N and x is a multiple of 11 between 100 and 110}
g. A = {x: X € Z, -1 h. B = {set of vowels not in word equitorial}
i. C = {x:X N and x is prime number, 23 < x < 29}
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Answer:
The set of Natural number is
N={1,2,3,4,5,...}
Clearly, natural number are positive numbers.
Therefore, Set A does not contain any element.
∴A={x∣x is negative natural number}=ϕ
i.e A is empty.
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