MATH PROBLEM HELP

Question

Let
U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},

A = {7, 9, 11, 13, 15},

B = {8, 10, 12, 14, 16},
and
C = {7, 8, 10, 11, 14, 15}.
List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
(a) C ∩ C c


(b) (A ∩ C)c


(c) A ∪ (B ∩ C)

 

 

 

 

 

 

 

Results of a Department of Education survey of SAT test scores in 22 states showed the following results.
9 states had an average composite test score of at least 1000 during the past 3 yr.
14 states had an increase of at least 10 points in the average composite score during the past 3 yr.
7 states had both an average composite SAT score of at least 1000 and showed an increase of at least 10 points during the past 3 yr.
(a) How many of the 22 states had composite scores of less than 1000 and showed an increase of at least 10 points over the 3-yr period?
states

(b) How many of the 22 states had composite scores of at least 1000 and did not show an increase of at least 10 points over the 3-yr period?
states

 

 

 

 

 

 

 

 

 

 

 

 

List the elements of the set in roster notation. (Enter ∅ for the empty set.)
{x |
5 − x = 1
and x is an integer}

 

Answer 1

(c) B∩C ={8,10,14}

{7,9,11,13}U{8,10,14}= {7,8,9,10,11,13,14}