Question

suppose that a and b are sets, defined as follows. find the intersection and union of a and b. enter the elements of the sets in increasing order, separated by commas. if a set is the empty set, just enter dne inside the braces given. a = {1,4,5,7,9} and b = {1,4,5,8,9,10} a∩b = { } a∪b = { }

Explanation:

Step1: Identify common elements

Find elements in both $A$ and $B$.
Common elements: $1, 4, 5, 9$

Step2: Combine all unique elements

Merge elements from $A$ and $B$, remove duplicates.
Combined elements: $1, 4, 5, 7, 8, 9, 10$

Answer:

$A\cap B = \{1, 4, 5, 9\}$
$A\cup B = \{1, 4, 5, 7, 8, 9, 10\}$