Question

Let A, B and C be sets such that ϕ ≠ A ∩ B ⊆ C. Then which of the following statements is not true ?

(1)  If (A – B) ⊆ C, then A ⊆ C

(2)  B ∩ C ≠ ϕ

(3)  (C ∪ A) ∩ (C ∪ B) = C

(4)   If (A – C) ⊆ B, then A ⊆ B 

Answer 1

Correct option (4)   If (A – C) ⊆ B, then A ⊆ B 

Explanation:

Let A = {1,2,3,4}
B = {3,4,5,6}
C = {1,2,3,4,7,8}
Here A ∩ B = {3,4} ⊆ C
A - C = ϕ ⊆ B
but 
So not true (wrong) statement is 4^th
If A - C ⊆ B then A ⊆ B

Answer 2

Answer:(4) If (A – C) ⊆ B, then A ⊆ B 

So, option (1) is true

So, option (2) is true

So, Option (3) is true

So, Option (4) is NOT true

Comments

Nice explanation bro....,