Question

determine if the set is the empty set.
\\{x | x is a number less than 7 or greater than 14\\}

choose the correct answer below.

\bigcirc the set is the empty set.
\bigcirc the set is not the empty set.

Explanation:

Step1: Define the set conditions

The set is $\{x \mid x < 7 \text{ or } x > 14\}$

Step2: Check for valid elements

Numbers like $5$ (which is $<7$) and $15$ (which is $>14$) belong to this set.

Step3: Compare to empty set

An empty set has no elements; this set has elements.

Answer:

The set is not the empty set.