Verified Solution • 2025–26 Session
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QJEEM21Maf09d: JEE Main 2021 Mathematics - Class 11 JEEM21Maf09d Solution: If A = {x R :
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 ________________.
Step-by-Step Verified Solution
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.