Question

 If A and B are two sets , then A – ( A – B ) is equal to : *

1 point

(A) B

(B) AUB

(C) AՈB

(D) B – A

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Answer 1

Answer:

is equal to (A) B

hope it helps

Answer 2

Given:

Two sets = A and B

To find:

A – ( A – B ) = ?

Solution:

Let A−(A−B) = x

Therefore,

x ∈ A ≈ x ∉ (A−B)  

x ∈ A ≈ (x ∉ A ≈ x ∈ B )  

= x ∈ A ≈ x ∉ A ) ∨ ( x ∈ A ≈ x ∈ B)  

Thus, it is  False as ≈ ( x ∈ A ≈ x ∈ B )  

x ∈ A ≈ x ∈ B  

x ∈ A∩B  

So,

A−(A−B) =A∩B

Answer: If A and B are two sets then A−(A−B) =A∩B