8. Unions and Intersections of Sets
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The symbol ⋂ indicates the intersection of two sets.
B ⋂ D=∅
Since we have the symbol ⋂, we are looking for the intersection of the given sets.
First, we will write B and D in roster form to see if they share any common elements. B&={ 0, 2, 4, 6, 8} D&={ 1, 3, 5, 7, 9} An intersection of two sets is the set that contains elements that are common in both sets. An element is in the intersection of B and D if it belongs to B and to D at the same time. Since all elements of B are even numbers and all elements of D are odd numbers, there is no such element that belongs to both B and D. B ⋂ D=∅ Therefore, the intersection of those sets is an empty set.