Question

If A is a set of vowels and B is a set of first five natural numbers then *
A and B are comparable sets
A and B are equal sets
Equivalent sets
None of these​

Answer 1

Given : A is a set of vowels and B is a set of first five natural numbers

To Find : Correct option

A and B are comparable sets

A and B are equal sets

Equivalent sets

None of these​

Solution:

A is a set of vowels

=> A = { a , e , i , o , u }

=> n(A) = 5

B is a set of first five natural numbers

B = { 1 , 2 , 3 , 4 , 5 }

n(B) = 5

Equivalent sets have  equal number of elements (may be same or different elements)

n(A) = n(B) = 5

Hence A & B are Equivalent sets

equal sets have same elements hence A& B are not equal sets

comparable sets  if one contains the other.

Hence A & B are not comparable

A & B are Equivalent sets

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Answer 2

HELLO DEAR,

GIVEN:-; If A is a set of vowels and B is a set of first five natural numbers then *

A and B are comparable sets

A and B are equal sets

Equivalent sets

None of these

SOLUTION:- A is the set of vowels

So, A = { a, e, i ,o ,u}

B is the set of first five natural number,

So, B = { 1, 2, 3, 4, 5 }

Here, set A ≠ set B

Because , set A have different element to set B.

But n( A) = 5

n(B) = 5

So, set A is equivalent to set B.

Equivalent set :- If two sets are given , A and B . And number of elements of A equal to number of elements of B .Then the both sets are called equivalent set.

Therefore ,(C) Equivalent set is correct option.

I HOPE IT'S HELP YOU DEAR,

THANKS.