chrisbillakings Asked: June 12, 2021 In: Mathematics Intersection of a Set 1k What is Intersection in set Sets, Mathematics Share Facebook You must be logged in to Answer this question! kindly login here or sign up here 1 Answer Voted Solutionwheels Best Answer 2021-06-13T00:09:12+00:00 Added an answer on June 13, 2021 at 12:09 am V The Intersection (∩) of a Set The intersection of a set is defined as elements that are in both sets. It is denoted by the Symbol ∩: “intersects” (and) Example A = {1, 2, 3, 5, 7} and B = {2, 4, 6, 8, 10} D = {9, 10} Find 1. A ∩ B 2. B ∩ D Solution 1. A ∩ B = {2} 2. B ∩ D = {10} In general, A ∩ B = {x ∈ A and x ∈ B} If there are no elements in common, the answer is the empty set ∅. The cardinality of the empty set |∅| = 0. A ∩ D = {∅} Deleted
The Intersection (∩) of a Set
The intersection of a set is defined as elements that are in both sets. It is denoted by the Symbol ∩: “intersects” (and)
Example
A = {1, 2, 3, 5, 7} and
B = {2, 4, 6, 8, 10}
D = {9, 10}
Find
1. A ∩ B
2. B ∩ D
Solution
1. A ∩ B = {2}
2. B ∩ D = {10}
In general, A ∩ B = {x ∈ A and x ∈ B}
If there are no elements in common, the answer is the empty set ∅.
The cardinality of the empty set |∅| = 0.
A ∩ D = {∅}