2. For this problem, let the universal set U ={1,2,3,..,20}, and A = the elements of U that are congruent to 3, mod 4. (Remember that the absolute value symbols are used to indicate cardinality, or number of elements. And B is the complement of B, meaning the elements of U that are not in B. Hint: draw a Venn diagram!) Suppose that B is a subset of U such that |A| = |B| and A U B = 11 Then find |A n B| . Explain your reasoning in detail.
2. For this problem, let the universal set U ={1,2,3,..,20}, and A = the elements of U that are congruent to 3, mod 4. (Remember that the absolute value symbols are used to indicate cardinality, or number of elements. And B is the complement of B, meaning the elements of U that are not in B. Hint: draw a Venn diagram!) Suppose that B is a subset of U such that |A| = |B| and A U B = 11 Then find |A n B| . Explain your reasoning in detail.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![2. For this problem, let the universal set U ={1,2,3,..,20}, and A = the elements of U that are
congruent to 3, mod 4. (Remember that the absolute value symbols are used to indicate cardinality,
or number of elements. And B is the complement of B, meaning the elements of U that are not in B.
Hint: draw a Venn diagram!)
Suppose that B is a subset of U such that |A| = |B| and A U B = 11
Then find | A n B| .
Explain your reasoning in detail.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cf90e6d-5aa9-4efb-8df6-aba22040984e%2F8aafa276-86d7-4b46-9ba0-87849fb1600b%2Flvsjohx_processed.png&w=3840&q=75)
Transcribed Image Text:2. For this problem, let the universal set U ={1,2,3,..,20}, and A = the elements of U that are
congruent to 3, mod 4. (Remember that the absolute value symbols are used to indicate cardinality,
or number of elements. And B is the complement of B, meaning the elements of U that are not in B.
Hint: draw a Venn diagram!)
Suppose that B is a subset of U such that |A| = |B| and A U B = 11
Then find | A n B| .
Explain your reasoning in detail.
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