Question

Define equality of two sets , with examples. if A is a subset of B and B is a subset of A then how A and B are related.​

Answer 1

Answer:

solve yourself I'll describe u my method

One-to-One Correspondence and Equivalence of Sets: If the elements of two sets can be paired so that each element is paired with exactly one element from the other set, then there is a one-to-one correspondence between the two sets. The two sets are said to be equivalent.

Step-by-step explanation:

(Equality of sets): Two sets are equal if and only if they have the same elements. ... More formally, for any sets A and B, A is a subset of B, and denoted by A B, if and only if x [ x A x B ] .

Answer 2

SOLUTION

TO DETERMINE

• Define equality of two sets , with examples.

• A is a subset of B and B is a subset of A then how A and B are related.

EVALUATION

ANSWER TO QUESTION : 1

Equality of Set

Two set 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

In other words two equal sets contains precisely the same elements

We write it as A = B

Example :

$\sf{A = \{ \: x : x \in \mathbb{N} \: \: and \: \: 1 < x < 6 \: \} }$

$\sf{B = \{ \: 2,3,4,5 \} \: }$

Here A and B are equal sets

ANSWER TO QUESTION : 2

Here it is given that A is a subset of B

$\sf{A \subset \: B}$

So every element of A is an element of B

It is also stated that B is an element of A

$\sf{B \subset \: A}$

So every element of B is an element of A

Hence A and B are equal sets

$\therefore \sf{ \:A = B}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If A, B and C are any three sets

then prove the following using venn-diagram

A∩(BUC) = (A∩B) U (A∩C)

https://brainly.in/question/23234089

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

https://brainly.in/question/28848928