Problem 1002

 

Determine whether the following statement is true or false.

{a} Є {a, b, c, d, e}

 

Solution:-

 

The symbol Є means “is an element of.”

For example, the statement b Є {a, b, c, d, e} is true because b is an element of {a, b, c ,d, e}.

The statement f Є {a, b, c, d, e} is false because f is not an element of {a, b, c, d, e}.

The statement {b} Є {a, b, c, d, e} is false because {b} refers to the set containing b as its only element. Although b is an element of {a, b, c, d, e} is not.

Therefore, {a} Є {a, b, c, d, e} is not a true statement.

 

 

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