Question

1. Let X = {1, 5, 8} and Y = {1, a, b}.
Are the two sets equivalent? YES or No

2. Let X = {1, 5, 8} and Y = {1, a, b}.
Are the two sets equal? YES or No

3. Given set Y = {1, a, b}.
What is the cardinality of the set?

4. Given set Y = {1, a, b}.
How many subsets are there in set Y?

5. Given set Y = {1, a, b}.
What is the powerset of Y?

Answer 1

SOLUTION

TO DETERMINE

1. Let X = {1, 5, 8} and Y = {1, a, b}.

Are the two sets equivalent? YES or No

2. Let X = {1, 5, 8} and Y = {1, a, b}.

Are the two sets equal? YES or No

3. Given set Y = {1, a, b}.

What is the cardinality of the set?

4. Given set Y = {1, a, b}.

How many subsets are there in set Y?

5. Given set Y = {1, a, b}.

What is the power set of Y?

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

EQUIVALENT SET

Two sets are equivalent if they have the same number of elements.

Equal Set

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

Power Set

The collection of all subsets of a non empty set S is a set of sets. This set is called the power set S and is denoted by P(S)

EVALUATION

1. Let X = {1, 5, 8} and Y = {1, a, b}.

We know that Two sets are equivalent if they have the same number of elements.

Since X and Y have same number of elements

So X & Y are two equivalent sets

2. Let X = {1, 5, 8} and Y = {1, a, b}.

We know that two sets X & Y said to be equal if every element of X is an element of Y and every element of Y is also an element of X

Since 5 is an element of X but not an element of Y

So X and Y are not equal sets

3. Given set Y = {1, a, b}.

Since Y contains 3 elements

So the cardinality of the set Y is 3

4. Given set Y = {1, a, b}.

Since Y contains 3 elements

So the number of subsets of the set Y is

$= {2}^{3}$

$= 8$

5. Given set Y = {1, a, b}.

So the power set of Y is

{ {} , {1 } ,{a} , {b} ,{1,a} ,{1,b}, {a,b}, {1, a, b} }

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ write the following sets in roster form N={x:x is odd number, 21<x<35,XEN

https://brainly.in/question/24185793

2. If A and B are two sets then A-B =B-A if

https://brainly.in/question/28848928