Subjects set theory

Venn Set Shading A4Bc26

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1. The problem asks to shade the set corresponding to the formula $ (A \setminus B) \cap \overline{C} $. 2. The formula $ (A \setminus B) \cap \overline{C} $ means elements in $A$ but not in $B$, and also not in $C$. 3. Recall that $ A \setminus B = A \cap \overline{B} $. So the formula becomes $ (A \cap \overline{B}) \cap \overline{C} $. 4. By associativity of intersection, this is $ A \cap \overline{B} \cap \overline{C} $. 5. To shade this on a Venn diagram with sets $A$, $B$, and $C$, shade the region inside $A$ but outside $B$ and outside $C$. This is the final answer for the first problem.