Question

A = { x | x is a letter in a word SEAT }
B = { x | x is a letter in a word TASTE }

Direction : are two sets A and B are equal? Give reason to support your answer

Answer 1

Answer:

it is not a equal set

Step-by-step explanation:

bcoz in A set have 4 letters

in B set have 5 letter

Answer 2

SOLUTION

TO DETERMINE

A = { x | x is a letter in a word SEAT }

B = { x | x is a letter in a word TASTE }

Are two sets A and B are equal

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

Subset :

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

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

EVALUATION

Here the given sets are

A = { x | x is a letter in a word SEAT }

B = { x | x is a letter in a word TASTE }

∴ A = { A , E , S , T }

∴ B = { A , E , S , T }

Thus we see that every element of A is an element of B and every element of B is also an element of A

So A ⊆ B and B ⊆ A

Hence A = B

FINAL ANSWER

Hence A and B are equal sets

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

https://brainly.in/question/4193770

2. 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