Mathematics
Statement I: The cardinal number of the set A = {x | x ∈ N, x2 < 26} is 6.
Statement II: The number of different elements in a finite set is called its cardinal number.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Sets
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Answer
Statement I: A = {x | x ∈ N, x2 < 26}
For x = 1, x2 = 1 < 26 ✓
For x = 2, x2 = 4 < 26 ✓
For x = 3, x2 = 9 < 26 ✓
For x = 4, x2 = 16 < 26 ✓
For x = 5, x2 = 25 < 26 ✓
For x = 6, x2 = 36 > 26 ✗
So, A = {1, 2, 3, 4, 5} which has 5 elements i.e. n(A) = 5, not 6. So, Statement I is false.
Statement II: By definition, the number of different elements in a finite set is called its cardinal number. So, Statement II is true.
Hence, option 2 is the correct option.
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