Exercises with set operations (Batch 3)
Compute the set described by the formula below.
\[ \{a, e, b, f\} \cup \{a\} \]
\[ \{b, e, f, a\} \]
Compute the set described by the formula below.
\[ (\{b\} \cup (\{b\} - \{a\})) - (\{a, e\} \cap \{b\}) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ ((\{a, f\} \cap \{f\}) \cup (\{a, f\} - \{f\})) - (\{f\} - \{a, f\}) \]
\[ \{a, f\} \]
Compute the set described by the formula below.
\[ (\{f\} - \{d\}) - (\{d\} \cap \{f\}) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ \{e\} \cup \{e, d\} \]
\[ \{e, d\} \]
Compute the set described by the formula below.
\[ ((\{c, b\} - \{b\}) \cup (\{b\} \cap \{c, b\})) \cup (\{c, b\} \cap \{b\}) \]
\[ \{c, b\} \]
Compute the set described by the formula below.
\[ ((\{a, d\} - \{c\}) \cup (\{a, d\} \cup \{c\})) - (\{a, d\} \cap \{c\}) \]
\[ \{a, c, d\} \]
Compute the set described by the formula below.
\[ \{f\} \cup \{b\} \]
\[ \{b, f\} \]
Compute the set described by the formula below.
\[ (\{c\} \cap (\{a\} \cup \{c\})) \cap (\{e\} \cup \{c\}) \]
\[ \{c\} \]
Compute the set described by the formula below.
\[ \{f\} \cup ((\{f\} \cup \{d\}) \cup (\{d\} \cup \{f\})) \]
\[ \{f, d\} \]
Compute the set described by the formula below.
\[ (\{\{e\}, \{\emptyset, \{e\}\}\} \cup (\{f\} \cap \{d\})) \cap (\{\{e\}, \{\emptyset, \{e\}\}\} - \{f\}) \]
\[ \{\{e\}, \{\emptyset, \{e\}\}\} \]
Compute the set described by the formula below.
\[ \{b\} - \{a\} \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ \{a, c, f\} \cup \{e, c\} \]
\[ \{c, f, e, a\} \]
Compute the set described by the formula below.
\[ \{d\} \cap (\{c\} \cap \{d\}) \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ \{c, d\} \cup \{b\} \]
\[ \{c, b, d\} \]
Compute the set described by the formula below.
\[ \{b\} \cup (\{b\} \cap (\{b\} \cap (\{d\} \cap \{e\}))) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ (\{b\} \cap (\{b\} \cup \{c\})) \cup (\{c\} \cup \{b\}) \]
\[ \{c, b\} \]
Compute the set described by the formula below.
\[ ((\{d\} - \emptyset) - (\{d\} \cap \emptyset)) \cup (\{d\} - \emptyset) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ \{a\} - \{b, c, f, d\} \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ \{a, b\} - \{f\} \]
\[ \{a, b\} \]
Compute the set described by the formula below.
\[ \{b\} \cup \{f\} \]
\[ \{f, b\} \]
Compute the set described by the formula below.
\[ (\{b\} \cup \{c\}) \cap (\{b\} \cup \{a\}) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ ((\{c\} \cup \{a\}) \cup (\{c\} - \{a\})) \cap (\{c\} - \{e\}) \]
\[ \{c\} \]
Compute the set described by the formula below.
\[ \{c\} \cup \{d\} \]
\[ \{c, d\} \]
Compute the set described by the formula below.
\[ \{e, c\} \cap \{b\} \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ \{c\} \cup ((\{c\} \cup \{b\}) \cup (\{c\} \cap \{b\})) \]
\[ \{c, b\} \]
Compute the set described by the formula below.
\[ \{a, d\} \cup \{c\} \]
\[ \{a, c, d\} \]
Compute the set described by the formula below.
\[ (\{c\} \cap \{b, f, d\}) \cup (\{b\} \cup \{c\}) \]
\[ \{c, b\} \]
Compute the set described by the formula below.
\[ \{f\} - (\{f\} \cap (\{c\} - (\{f\} \cup \{d\}))) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ \{d\} \cup \{b\} \]
\[ \{b, d\} \]
Compute the set described by the formula below.
\[ \{e, c\} \cup ((\{e, c\} \cup \{b\}) - (\{b\} \cap \{e, c\})) \]
\[ \{c, b, e\} \]
Compute the set described by the formula below.
\[ \{f\} \cup (\{f\} \cup (\{f\} - \{b\})) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ (\{b\} - (\{a\} - (\{a\} \cap \{b\}))) \cap (\{b\} - \{e, a\}) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ \{e, f\} \cup \{a, b, d\} \]
\[ \{a, f, b, e, d\} \]
Compute the set described by the formula below.
\[ \{a, b, e\} \cup ((\{c\} \cup \{a, b, e\}) - (\{d\} \cap \{c\})) \]
\[ \{c, b, e, a\} \]
Compute the set described by the formula below.
\[ \{a\} - \emptyset \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ ((\{f\} \cup \{e\}) \cup (\{e\} \cap \{f\})) \cup (\{f\} - \{e\}) \]
\[ \{e, f\} \]
Compute the set described by the formula below.
\[ (\{e, c\} \cup \{e, f\}) \cap (\{a, d\} \cup \{e, f\}) \]
\[ \{e, f\} \]
Compute the set described by the formula below.
\[ ((\{f\} - \{f\}) \cup (\{b, c, f, e, a\} \cup \{f\})) \cap (\{f\} \cap \{f\}) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ ((\{e\} \cup \{b, d\}) \cup (\{b, d\} \cap \{e\})) \cup (\{e\} \cap \{b, d\}) \]
\[ \{e, b, d\} \]
Compute the set described by the formula below.
\[ \{b, d\} \cup ((\{e\} - \{e\}) \cup (\{e\} \cap \{b, d\})) \]
\[ \{b, d\} \]
Compute the set described by the formula below.
\[ \{\{\{a, b, d\}, \{e\}\}, \{e\}\} \cup \{e\} \]
\[ \{e, \{\{a, b, d\}, \{e\}\}, \{e\}\} \]
Compute the set described by the formula below.
\[ \{e\} - ((\{c, b\} - \{a, d\}) \cup (\{e, b\} \cap \{b, d\})) \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ (\{e\} \cup (\{e\} \cup \{f\})) \cap (\{f\} \cup \{e\}) \]
\[ \{e, f\} \]
Compute the set described by the formula below.
\[ (\{e\} \cap (\{a, f\} - \{e\})) \cup (\{d\} - \{b\}) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ (\{c\} \cap (\{b, f\} - \{b\})) \cup (\{b, f\} \cup \{c\}) \]
\[ \{b, c, f\} \]
Compute the set described by the formula below.
\[ \{a\} \cap (\{a\} \cup \{c, b\}) \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ \{a, c, f\} \cap \{e\} \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ \{a\} - ((\{a\} \cap \{e\}) \cap (\{e\} \cap \{a\})) \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ \{d\} \cup (\{d\} - (\{d\} - \emptyset)) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ (\{d\} \cap (\{a, f, e\} \cap \{d\})) \cap (\{a, f, e\} \cap \{d\}) \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ \{a, b\} - (\{a, c, e\} \cap (\{a, c, e\} \cap (\{a, b\} \cap \{a, c, e\}))) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ \{a\} - ((\{a, c, b\} \cup \{c\}) \cap (\{a, c, b\} \cap \{c\})) \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ \{e\} - ((\{f\} \cap \{e\}) \cup (\{a\} \cap \{f\})) \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ \{e, f\} \cup (\{a, b, e\} - \{c\}) \]
\[ \{a, f, b, e\} \]
Compute the set described by the formula below.
\[ \{c\} - (\{c\} - (\{d\} \cup (\{c\} \cup \{b\}))) \]
\[ \{c\} \]
Compute the set described by the formula below.
\[ \{d\} \cup (\{a\} \cap (\{a\} - (\{a\} \cup \{d\}))) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ ((\{d\} - \{e\}) \cup (\emptyset - \{e\})) \cup (\{e\} \cup \{e\}) \]
\[ \{e, d\} \]
Compute the set described by the formula below.
\[ (\{a, b\} - (\emptyset \cap \{a, b\})) - (\{f\} \cup \emptyset) \]
\[ \{a, b\} \]
Compute the set described by the formula below.
\[ (\{f, e, a, b\} \cup (\{c, b\} - \{b, d\})) \cup (\{b, d\} - \{d\}) \]
\[ \{a, c, f, b, e\} \]
Compute the set described by the formula below.
\[ \{e\} \cap \{a, e, f, d\} \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ \{a, e\} \cap (\{e\} \cup \emptyset) \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ \{b\} \cup ((\{b\} \cup \{b\}) - (\{a\} \cap \{b\})) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ \{e, c, b, d\} - \{e\} \]
\[ \{c, b, d\} \]
Compute the set described by the formula below.
\[ \{d\} - ((\{d\} \cap \{a\}) \cap (\{d\} \cup \{a\})) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ (\{b\} - \{e, d\}) - (\{d\} \cap \{e, d\}) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ (\{d\} - (\{f\} \cap \{d\})) - (\{e\} \cup \{a, d\}) \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ ((\{d\} \cup \emptyset) \cup (\{f, b\} - \emptyset)) - (\{d\} \cap \emptyset) \]
\[ \{b, f, d\} \]
Compute the set described by the formula below.
\[ \emptyset \cup \{b\} \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ (\{f\} - \{c\}) \cup (\{f\} - \{e, d\}) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ \{d\} \cup \{d\} \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ \{c, d\} - \{\{f\}, \{\{f\}, \{e\}\}\} \]
\[ \{c, d\} \]
Compute the set described by the formula below.
\[ (\{a, f\} - \{f, a, b\}) \cup (\{f, a, b\} \cup \{a, f\}) \]
\[ \{a, b, f\} \]
Compute the set described by the formula below.
\[ (\{c\} - (\{f\} \cap \{f\})) - (\{f\} \cup \{f\}) \]
\[ \{c\} \]
Compute the set described by the formula below.
\[ \{a, e\} \cup \{f\} \]
\[ \{a, f, e\} \]
Compute the set described by the formula below.
\[ ((\{e\} \cup \{b\}) \cup (\{c, f\} \cap \{c\})) \cup (\{c, f\} \cup \{e\}) \]
\[ \{c, b, f, e\} \]
Compute the set described by the formula below.
\[ \{e, c\} \cap \emptyset \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ (\{e\} \cap (\{e, c\} \cap \{e\})) - (\{e, c\} \cap \{b\}) \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ ((\{d\} \cap \{c\}) \cap (\{c\} \cap \{e\})) \cup (\{e\} - \{d\}) \]
\[ \{e\} \]
Compute the set described by the formula below.
\[ ((\{a\} \cap \{f\}) \cap (\{b\} \cap \{e\})) \cup (\{f\} - \{a\}) \]
\[ \{f\} \]
Compute the set described by the formula below.
\[ \{e, f\} \cup \{a\} \]
\[ \{e, a, f\} \]
Compute the set described by the formula below.
\[ \{a, b\} - \{c, f, d\} \]
\[ \{a, b\} \]
Compute the set described by the formula below.
\[ \{d\} \cup \{c\} \]
\[ \{c, d\} \]
Compute the set described by the formula below.
\[ (\{b\} - (\{e\} - \{c\})) - (\{b\} \cap \{a\}) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ \{b\} - ((\{e\} \cup \{a\}) - (\{a\} \cup \{b\})) \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ (\{c\} \cup \{b, f, d\}) \cup (\{b, f, d\} \cap \{a\}) \]
\[ \{f, c, b, d\} \]
Compute the set described by the formula below.
\[ \{b\} \cup \{a\} \]
\[ \{a, b\} \]
Compute the set described by the formula below.
\[ (\{\{\{b\}, \{a\}\}, \{a\}\} \cup (\{a\} \cap \{a\})) \cap (\{a\} - \{\{\{b\}, \{a\}\}, \{a\}\}) \]
\[ \{a\} \]
Compute the set described by the formula below.
\[ \{c\} \cap ((\{d\} \cup \{a, c, e\}) \cup (\{a, c, e\} - \{c\})) \]
\[ \{c\} \]
Compute the set described by the formula below.
\[ (\{b\} - (\{b\} \cup \{c\})) \cup (\{c\} \cup \{d\}) \]
\[ \{c, d\} \]
Compute the set described by the formula below.
\[ \{d\} \cup \{a\} \]
\[ \{a, d\} \]
Compute the set described by the formula below.
\[ ((\{a\} \cap \{b\}) \cup (\{b\} \cup \{a\})) - (\emptyset \cap \{a\}) \]
\[ \{a, b\} \]
Compute the set described by the formula below.
\[ (\{b, d\} - (\{b\} \cap \{b, d\})) - (\{e\} - \{a\}) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ \{d\} - \{b\} \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ (\{e, c\} \cup \{b, d\}) - (\{e, c\} \cap \{b, d\}) \]
\[ \{e, c, b, d\} \]
Compute the set described by the formula below.
\[ \{e, a, f, d\} \cup \{c\} \]
\[ \{a, c, f, d, e\} \]
Compute the set described by the formula below.
\[ \{b\} - \{e, a\} \]
\[ \{b\} \]
Compute the set described by the formula below.
\[ ((\{b\} \cap \{f\}) \cap (\{f\} \cup \{b\})) \cup (\{f\} \cap \{b\}) \]
\[ \emptyset \]
Compute the set described by the formula below.
\[ \{d\} - ((\{\{e, f\}, \{\{e, f\}, \{f, d\}\}\} \cup \{b, c, d, a, e\}) - (\{d\} \cup \{c\})) \]
\[ \{d\} \]
Compute the set described by the formula below.
\[ \{a, c\} \cup \emptyset \]
\[ \{a, c\} \]