Find the intersection of the sets. {a,b,c,d}∩∅

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Recall that the intersection of two sets, denoted by $A \cap B$, is the set of all elements that are common to both sets $A$ and $B$.

Identify the two sets given: the first set is $\{a,b,c,d\}$ and the second set is the empty set $\emptyset$.

Understand that the empty set $\emptyset$ contains no elements at all.

Since there are no elements in $\emptyset$, there can be no elements common to both $\{a,b,c,d\}$ and $\emptyset$.

Therefore, the intersection $\{a,b,c,d\} \cap \emptyset$ is the empty set $\emptyset$.

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Concetti chiave

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Set Intersection

Set intersection refers to the elements that are common to both sets being compared. It is denoted by the symbol ∩. For example, if Set A = {1, 2, 3} and Set B = {2, 3, 4}, then A ∩ B = {2, 3}.

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