Which of the following are true statements? 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}} f:{2}in{{1},{2}}

Which of the following are true statements? 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}} f:{2}in{{1},{2}}

Question
Discrete math
asked 2021-02-27
Which of the following are true statements?
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}}
f:{2}in{{1},{2}}

Answers (1)

2021-02-28
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=2in{1,2,3}
Here, the element 2 belongs to the set {1,2,3} thus the statement is true
consider statement
b={2}in{1,2,3}
Here the set {2} doesn't belong to the set {1,2,3} thus the statement is false
consider statement
c=2sube{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}sube{1,2,3}
Here the sett {2} is proper subset of {1,2,3}
Thus the statements is true
consider the statement
e={2}sube{{1},{2}}
Here, the set {2} is proper subset of {{1},{2}} Thus, the statements is true
consider statement
f={2}sube{{1},{2}} Here the set {2} belongs tp {{1},{2}}.Thus the statement is true
0

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