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

Answer:

equivalent sets

Step-by-step explanation:

equivalent sets

this is correct answer

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A is a set of vowels and B is a set of first five natural numbers then A and B are

• Comparable sets

• Equal sets

• Equivalent sets

• None of these

CONCEPT TO BE IMPLEMENTED

COMPARABLE SETS

Two sets A and B are said to be comparable if either A is a subset of B or B is a subset of A

EQUAL SETS

Two sets A and B are said to be equal if every element of A is an element of B and every element of B is an element of A

EQUIVALENT SETS

Two sets A and B are said to be equivalent sets if they have the same Cardinality i.e the same number of elements

EVALUATION

A is a set of vowels

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

B is a set of first five natural numbers

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

CHECKING FOR OPTION 1

Here no element of A is an element of B and no element of B is an element of A

So A and B are not Comparable

CHECKING FOR OPTION 2

Here no element of A is an element of B and no element of B is an element of A

So A and B are not equal

CHECKING FOR OPTION 3

Here

n(A) = Number of elements in A = 5

n(B) = Number of elements in B = 5

$\sf{So \: \: \: n(A) = n(B) }$

Therefore A and B have the same cardinality

Hence A and B are Equivalent sets

FINAL ANSWER

If A is a set of vowels and B is a set of first five natural numbers then A and B are Equivalent sets

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LEARN MORE FROM BRAINLY

Let A={(x,y):x,y€z,x²+y²≤16},

then the number of reflexive relations on set

A is a)2^49 b)2^2401 c)2^2352 d)2^1176

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