Question

Question No. 1
Which of the following sets is an empty set?
A={x: x^2-3=0 and x is rational}
A)
B={x:xis an even prime number}
B)
C={x:x^2=25 and x is an odd integer}
C)
D={x:x-5=0}​

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.