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Use the information given below to complete the table to the right. A A' Totals B n(A') = 36 n(B') = 36 n(A' U B') = 61 B' Totals ? n(U) = 126 Complete the table. A A' Totals B B' Totals (Type whole numbers.)

Use the information given below to complete the table to the right. A A' Totals B n(A') = 36 n(B') = 36 n(A' U B') = 61 B' Totals ? n(U) = 126 Complete the table. A A' Totals B B' Totals (Type whole numbers.)

Advanced Engineering Mathematics
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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### Instructions to Complete the Table Use the given set notation information to fill in the blanks of the table: 1. **n(A') = 36**: This represents the number of elements not in set A. 2. **n(B') = 36**: This represents the number of elements not in set B. 3. **n(A' ∪ B') = 61**: This is the number of elements not in A or not in B (A' or B'). 4. **n(U) = 126**: This is the total number of elements in the universal set. ### Table Structure The table is organized into two main sets, A and A', with subsections B and B', as well as a Totals column: - **Rows:** - B - B' - **Columns:** - A - A' - Totals ### Tasks - Complete each cell using whole numbers. - Calculate based on the set relationships provided (like set complements and union). **Note:** The challenge is to understand the union and complement relationships and apply them correctly to solve for the unknowns in the table.
Transcribed Image Text:### Instructions to Complete the Table Use the given set notation information to fill in the blanks of the table: 1. **n(A') = 36**: This represents the number of elements not in set A. 2. **n(B') = 36**: This represents the number of elements not in set B. 3. **n(A' ∪ B') = 61**: This is the number of elements not in A or not in B (A' or B'). 4. **n(U) = 126**: This is the total number of elements in the universal set. ### Table Structure The table is organized into two main sets, A and A', with subsections B and B', as well as a Totals column: - **Rows:** - B - B' - **Columns:** - A - A' - Totals ### Tasks - Complete each cell using whole numbers. - Calculate based on the set relationships provided (like set complements and union). **Note:** The challenge is to understand the union and complement relationships and apply them correctly to solve for the unknowns in the table.
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