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