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The sets A, B, and C are as follows: A = {1, 2, 3, 5, 6, 7} B = {2, 3, 4, 5, 8, 9} C = {1, 4, 5, 10} - Junior Cycle Mathematics - Question 1 - 2015
Question 1
The sets A, B, and C are as follows: A = {1, 2, 3, 5, 6, 7} B = {2, 3, 4, 5, 8, 9} C = {1, 4, 5, 10}. (a) Complete the Venn diagram below. (b) List the elements of... show full transcript
Worked Solution & Example Answer:The sets A, B, and C are as follows: A = {1, 2, 3, 5, 6, 7} B = {2, 3, 4, 5, 8, 9} C = {1, 4, 5, 10} - Junior Cycle Mathematics - Question 1 - 2015
Step 1
Complete the Venn diagram below.
Answer
In the Venn diagram:
- The intersection of sets A and B (elements common in both A and B) is {2, 3, 5}.
- Set A has unique elements {1, 6, 7},
- Set B has unique elements {4, 8, 9}.
- The intersection of sets A and C gives us {5} (common element).
- Set C has unique elements {1, 10}.
Thus, the completed Venn diagram contains the following:
- A only: 1, 6, 7
- B only: 4, 8, 9
- C only: 10
- A ∩ B: 2, 3, 5
- A ∩ C: 5
- B ∩ C: 4
- A ∩ B ∩ C: none.
Step 2
Step 4