JEE Main 2021 — Sets And Relations Question with Solution
From: JEE Main 2021 (Online) 27th August Morning Shift
Question
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 ________________.
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 ________________.
Enter your answer
Show full solutionCorrect answer: 256
Correct answer
256
Step-by-step explanation
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 = 28 = 256.
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 = 28 = 256.
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