Math

QuestionDetermine if the statement "7 is not in the set {1, 5, 6}" is true or false. If false, explain why.

Studdy Solution

STEP 1

Assumptions1. The given statement is 7{1,5,6}7 \notin\{1,5,6\}. . The symbol \notin means "not in".
3. The set is {1,5,6}\{1,5,6\}, which contains the elements1,5, and6.

STEP 2

The statement is saying that7 is not an element of the set {1,5,6}\{1,5,6\}.

STEP 3

We need to check if7 is an element of the set {1,5,6}\{1,5,6\}.

STEP 4

The set {1,,6}\{1,,6\} contains the elements1,, and6. It does not contain the element7.

STEP 5

Since7 is not an element of the set {1,5,}\{1,5,\}, the statement 7{1,5,}7 \notin\{1,5,\} is true.
The statement is true.

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