Let A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}. Calculate the value of A ∩ (B ∪ C).a.∅b.{2,3}c. {1,2,3,4}d.{2,3,4,5}
Question
Let A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}. Calculate the value of A ∩ (B ∪ C).a.∅b.{2,3}c. {1,2,3,4}d.{2,3,4,5}
Solution
To solve this problem, we first need to find the union of sets B and C, denoted as B ∪ C. The union of two sets is a set containing all the elements that are in either of the two sets.
B = {2, 3, 4} C = {3, 4, 5}
So, B ∪ C = {2, 3, 4, 5}
Next, we need to find the intersection of set A and the union of sets B and C, denoted as A ∩ (B ∪ C). The intersection of two sets is a set containing all the elements that are common to both sets.
A = {1, 2, 3} B ∪ C = {2, 3, 4, 5}
So, A ∩ (B ∪ C) = {2, 3}
Therefore, the answer is b. {2,3}.
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