Home Maths Set Theory and Relations General Let . Which of the following statements are…
Maths Set Theory and Relations General Subjective Type
Published on: August 13, 2026

Let . Which of the following statements are incorrect and why?

A
B

C
D

(e) (f)
(g) (h)
(i) (j)
(k)

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

We have set,
The statement is incorrect because , however, .
We know that the element of the set can be a set.

So, the statement is correct because is an element of .
The statement is correct because and .
The statement is correct because 1 is an element of .
(e) The statement is incorrect because an element of a set can never be a subset of the set.
(f) The statement is correct because each element of is element of the set .
(g) The statement is incorrect because set is not an element of the set .
(h) The statement is incorrect because , however .
(i) The statement is incorrect because is a not an element of the set .
(j) The statement is correct because is a subset of every set.
(k) The statement is incorrect because , however .

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