Final answer:
The union of sets a = {-1, 3, 2} and b = {1, 2, 6} is {-1, 3, 2, 1, 6}, which includes all unique elements from both sets without duplicates.
Step-by-step explanation:
The question asks us to find the union of the sets a and b, which in this case are a = {-1, 3, 2} and b = {1, 2, 6}. The union of two sets includes all the elements that are in either set, without duplicates. Following this definition, let's list out all the unique elements from both sets.
The unique elements from set a are -1, 3, and 2. From set b, we have 1, 2, and 6. Since the number 2 appears in both sets, we only list it once in the union.
So, the union of sets a and b, denoted as a ⋃ b, is {-1, 3, 2, 1, 6}.