Which of following are true? a:2in{1,2,3}b:{2}in{1,2,3}c:2sube{1,2,3}d:{2}sube{1,2,3}e:{2}sube{{1},{2}}

Ava-May Nelson

Ava-May Nelson

Answered question

2021-02-27

Which of the following are true statements?
a:2{1,2,3}
b:{2}{1,2,3}
c:2{1,2,3}
d:{2}{1,2,3}
e:{2}{{1},{2}}
f:{2}{{1},{2}}

Answer & Explanation

Alannej

Alannej

Skilled2021-02-28Added 104 answers

Definition used:
Proper subset: A proper subset of a set A is a subset of A that is not equal to A.
The element x belongs to the set A means the element in the set A.
Consider statement
a=2{1,2,3}
Here, the element 2 belongs to the set {1,2,3} thus the statement is true
consider statement
b={2}{1,2,3}
Here the set {2} doesn't belong to the set {1,2,3} thus the statement is false
consider statement
c=2{1,2,3}
Here the number 2 is not the proper subset of {1,2,3}.
Thus the statement is false
consider he statement
d={2}{1,2,3}
Here the sett {2} is proper subset of {1,2,3}
Thus the statements is true
consider the statement
e={2}{{1},{2}}
Here, the set {2} is proper subset of {{1},{2}} Thus, the statements is true
consider statement
f={2}{{1},{2}} Here the set {2} belongs tp {{1},{2}}.Thus the statement is true

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