Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If A = {x 
R : |x − 2| > 1},B = {x 
R : 
> 1}, C = {x 
R : |x − 4| ≥ 2} and Z is the set of all integers, then the number of subsets of the set(A ∩ B ∩ C) C ∩ Z is .
Text Solution
Verified by ExpertsThe correct answer is:
256
(256)
A = (−∞, 1) ∪ (3, ∞)
B = (−∞, −2) ∪ (2, ∞)
C = (−∞, 2] ∪ [6, ∞)
So, A ∩ B ∩ C = (−∞, −2) ∪ [6, ∞)
z ∩ (A ∩ B ∩ C)′ = {−2,−1, 0,−1, 2, 3, 4, 5}
Hence no. of its subsets = 2 8 = 256.
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