Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

# If A, B, C are three sets, then what is A - (B - C) equal to?

(a) A – (B ⋂ C)

(b) (A – B) ⋃ C

(c) (A – B) ⋃ (A ⋂ C)

(d) (A – B) ⋃ (A – C)

Solution:

Following Venn diagram shows A-(B-C).

Horizontal lines shows A-B.

Vertical lines denotes (A ⋂ C).

So A – (B-C) = (A – B) ⋃ (A ⋂ C)

Hence option c is the answer.