Question

4. If A is a set of vowels and B is a set of first five natural numbers then *


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Answer 1

Answer:

Which of the following are examples of empty set?

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

(ii) Set of all even prime numbers.

(iii) {x:x

2

−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 }

Step-by-step explanation:

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

Answer:

A :- aeiou B :- 12345

Step-by-step explanation:

it's a simple logic A is a set of vowels which are aeiou & B is a set of first five natural numbers which are 12345