Dow Jones Industrial Average The following table shows information about each year’s Dow Jones Industrial average beginning value, ending value, and annual percent change for the years from 2005 to 2016. Let B be the set of years when the beginning value was less than 13,000. Let E be the set of years when the ending value was greater than 12,000. Let P be the set of years when the annual percent change was less than 7%.

(a) List the elements of B, E, and P.

(b) Is any of B, E, and P a subset of one of the others (besides itself)?

(c) Write a verbal description of P'.

(d) Find B' ∩ P' and describe it in words.

(e) Find E' ∩ P and describe it in words.

Transcribed Image Text:

Dow Jones Industrial Averages Beginning Ending Percent Year value value change 2005 10,783.01 10,717.50 -0.61% 2006 10,717.50 12,463.15 16.29% 2007 12,463.15 13,264.82 6.43% 2008 13,264.82 8776.39 -33.84% 2009 8776.39 10,428.05 18.82% 2010 10,428.05 11,577.51 11.02% 2011 11,577.51 12,217.56 5.53% 2012 12,217.56 13,104.14 7.26% 2013 13,104.14 16,576.66 26.50% 2014 16,576.66 17,823.07 7.52% 2015 17,823.07 17,425.03 -2.23% 2016 17,425.03 19,726.60 13.42%