Question

for any 3 Sets A, B, and C, (A-B) intersection (B-C) is equal to

If you say the correct answer I will mark it as brain list​

Answer 1

For any three sets A, B and C, (A - B) ∩ (B - C) is equal to Φ.

Given data:

Three sets A, B and C

To find:

(A - B) ∩ (B - C) is equal to

Concept to be used:

For two sets A and B,

A - B = A ∩ Bᶜ

This means that A difference B is the intersection of set A and the compliment of set B.

Also, A ∩ Aᶜ = Φ

Step-by-step explanation:

Now, (A - B) ∩ (B - C)

= (A ∩ Bᶜ) ∩ (B ∩ Cᶜ)

= A ∩ (Bᶜ ∩ B) ∩ Cᶜ, since intersection is associative

= A ∩ Φ ∩ Cᶜ, since B ∩ Bᶜ = Φ

= Φ, since Φ is the subset of all sets

Read more on Brainly.in

A= {1, 2, 3, 4, ..., 10}. What type of set A is?

https://brainly.in/question/27062106

Describe the following sets by using specified method.

https://brainly.in/question/38780013

#SPJ3