Answer
$\emptyset \subseteq \{7, 8, 9,... , 100\}$
$\emptyset \subset \{7, 8, 9,... , 100\}$
Work Step by Step
$\emptyset$____$\{7, 8, 9,... , 100\}$
By definition, an empty set is a subset of every set, and is a proper subset of every set except another subset, therefore:
$\emptyset \subseteq \{7, 8, 9,... , 100\}$
$\emptyset \subset \{7, 8, 9,... , 100\}$