for exercises 85-88, use the venn diagram to write each set in terms of $a$, $b$, and/or $u$.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Venn Diagram Representation", "Set Operations" ], "current_concepts": [ "Venn Diagram Analysis", "Set Operations", "Set Theory" ] } ## Identify the elements in each region of the Venn diagram $$ \begin{aligned} &A \setminus B = \{2, 3\}\ &A \cap B = \{5, 9\}\ &B \setminus A = \{6, 7, 8\}\ &U \setminus (A \cup B) = \{1, 4\} \end{aligned} $$ ## Determine the set represented by the given expression $$ \begin{aligned} &T = A = \{2, 3, 5, 9\}\ &D = B = \{5, 6, 7, 8, 9\}\ &M = U \setminus (A \cup B) = \{1, 4\}\ &(T - D) - M = (A \setminus B) \setminus M = \{2, 3\} \setminus \{1, 4\} = \{2, 3\} \end{aligned} $$ ## Express the resulting set in terms of A, B, and/or U $$ \{2, 3\} = A \cap B' = A - B $$ 84. (T - D) - M = $A - B$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Set Theory" ] }

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Explanation:

Identify the elements in each region of the Venn diagram

Determine the set represented by the given expression

Express the resulting set in terms of A, B, and/or U

Answer: