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Definition of Sets

Which of the ...

Question

Which of the following sets is finite?

{x : x i s a n o d d n u m b e r}

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{x : 3 < x < 6, x \in R}

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Set of all prime numbers

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Set of all sand particles on earth

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Solution

The correct option is D ${x : 3 < x < 6, x \in R}$
The correct answer is B

A set is said to be a finite set, if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

and in only case B the range is defined, and rest of them ranges are not defined.

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Similar questions

A = {x : x is an even number, x > 0}

B = {x : x is a positive prime number}

C = {x : x is a positive perfect square number}

D = {x : x is an odd number, x > 0}

5

{x : x^{2} - 2 = 0

x

}

{x : x

x < 8

x > 12

{x : x

}

Which of the following are examples of empty set ?

(i) Set of all even numbers divisible by 5.

(ii) Set of all even prime numbers.

(iii) { $x : x^{2} = 0$ and x is rational}.

(iv) {x : x is a natural number, x < 8 and simultaneously x > 12}.

(v) {x : x is a point common to any two parallel lines}.

Write the following sets in roster form:

(i) A = {x : x is an integer and -3 < x < 7}

(ii) B = {x : x is a natural number less than 6 }

(iii) C = {x : x is a two-digit natural number such that the sum of its digits is 8 }

(iv) D = {x : x is a prime number which is divisor of 60}

(v) E = The set of all letters in the word TRIGONOMETREY

(vi) F = The set of all letters in the word BETTER

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