Question
write 19 > 247 in set notation with brackets
Answers
GPT-4o mini
To express the inequality \( 19 > 247 \) in set notation, we first recognize that this statement evaluates to false. Therefore, we can represent it as an empty set, indicating that there are no elements satisfying this condition.
In set notation, the empty set is represented by \( \emptyset \) or \( \{\} \).
Thus, in set notation, you would write:
\[
\{ x \in \mathbb{R} \mid x > 19 \text{ and } x < 247 \} = \emptyset
\]
Or simply, since the inequality itself is false:
\[
\{ x \in \mathbb{R} \mid \text{false} \} = \emptyset
\]
This expresses that there are no real numbers \( x \) such that \( 19 > 247 \) is true.
In set notation, the empty set is represented by \( \emptyset \) or \( \{\} \).
Thus, in set notation, you would write:
\[
\{ x \in \mathbb{R} \mid x > 19 \text{ and } x < 247 \} = \emptyset
\]
Or simply, since the inequality itself is false:
\[
\{ x \in \mathbb{R} \mid \text{false} \} = \emptyset
\]
This expresses that there are no real numbers \( x \) such that \( 19 > 247 \) is true.