Question

Which of the following sets are empty ? A set of all even prime numbers , F = { y | y is a point of intersection of two parallel lines }, G = { z | z ∈ N ; 3 < z < 4 }



A
F
G
F and G​

Answer 1

Answer:

Empty set is a set which does not contains any element.

i] Set of all even natural numbers divisible by 5

→ Not a Empty set, e.q. 10, seven natural number &

divisible by 5.

ii] Set of all even prime number

→ not a Empty set e.q. 2 is even prime number

iii] {x:x

2

−2=0 & x is rational }

→ not a Empty set, e.q. x=2 satisfy which is a

rational number.

iv] {x:x is a natural number x < 8 & x > 12 }

→ It is a empty set because if a natural number is less

than 8, then it cannot be greater than 12.

v] {x:x is a point common to any two parallel lines }

→ A empty set because there will be no common

point between two parallel lins.

So (iv) & (v) are examples of empty of empty sets.

Answer 2

I) A ={ set of all even prime number}

=> A ={ 2} , this is a singleton set

II) F = { y/y is a point of intersection of parallel line} , there is no point of intersection of parallel lines

=> F ={empty set} ,

III) G = { set of all the integers between 3 and 4} , there is no integer between 3 and 4

=> G = { empty set}

so F and G are empty sets

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