letA=[2,(a,4),7]andB=[3,4,(a)]thanfindAuB,AnB
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5 stepsPart 1· 2 steps
Find A U B
The union of sets A and B, denoted A U B, contains all unique elements present in either set A or set B.
Given:
Identify all unique elements from both sets.
The elements in A are 2, $(a, 4)$, and 7.
The elements in B are 3, 4, and $(a)$.
Combining these unique elements gives: $2, 3, 4, 7, (a), (a, 4)$.Form the union set.
A \cup B = {2, 3, 4, 7, (a), (a, 4)}
Part 2
Find A ∩ B
The intersection of sets A and B, denoted A ∩ B, contains only the elements that are common to both set A and set B.
Given:
Compare elements of set A with elements of set B.
- Is 2 in B? No.
- Is $(a, 4)$ in B? No. (Note: $(a, 4)$ is an ordered pair, which is different from the number 4 or the single element $(a)$).
- Is 7 in B? No.
Compare elements of set B with elements of set A (as a double check).
- Is 3 in A? No.
- Is 4 in A? No.
- Is $(a)$ in A? No.
Identify common elements.
Since there are no elements that appear in both set A and set B, their intersection is the empty set.
or
A \cap B = \emptyset
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