Question

Which of the following set(s) is null set?
A = {x: Xe R, X < 5 and x = 25}
B = {x : XE R, x < 0}
C = X : x = 2x - 3, xe R}​

Answer 1

Answer:

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:x2−2=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.

Hope this will help u !!