The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014). Northeast(N)Midwest(M)South(S)West(W)Total2012 (A)50902801105302013 (B)601003301306202014 (C)50110350150660Total1603009603901,810Use symbols to describe the given set.the set of housing starts in 2013 in the West and Northeast (WHICH ONE OF THESE)B ∩ (W ∩ N)W ∪ (B ∪ N) W ∩ (B ∪ N)B ∩ (W ∪ N)B ∪ (W ∪ N)Compute its cardinality.(WHAT IS THE ANSWER) = thousand LOOK AT THE ATTACHED IMAGE FOR THE FULL QUESTION **Table: New (Single-Unit) Housing Starts in the United States (2012-2014)**This table presents the number of new (single-unit) houses started, in thousands, across different regions of the United States from 2012 to 2014. The regions are divided into Northeast (N), Midwest (M), South (S), and West (W).| Year | Northeast (N) | Midwest (M) | South (S) | West (W) | Total ||-----------|---------------|-------------|-----------|----------|--------|| 2012 (A) | 50 | 90 | 280 | 110 | 530 || 2013 (B) | 60 | 100 | 330 | 130 | 620 || 2014 (C) | 50 | 110 | 350 | 150 | 660 || **Total** | 160 | 300 | 960 | 390 | 1,810 |**Instructions:**Use symbols to describe the given set:- \( W \cap (B \cup M) \)- \( W \cup (B \cap M) \)- \( W \cap (B \cup N) \)- \( B \cup (W \cup M) \)Compute its cardinality and express it in thousands.The set of housing starts in 2013 in the West and Northeast:- \( W \cap (B \cup N) \)Compute its cardinality:\[ \text{Answer: } \]**Explanation:**- Each row represents a different year, with columns for each region and a total column summing up all regions.- Interpret set operations to analyze data subsets based on intersection or union conditions involving specific years and regions.

Answered: The following table shows the number of…

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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The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014).