**********Question 1********** Identify which of the following is equal to the empty set. {X | X IS AN EVEN NUMBER DIVISIBLE BY 3 AND 0 < X 5} THE SET OF ALL DOG BREEDS {X | X IS AN ODD NUMBER DIVISIBLE BY 5}
*********Question 2:*********** A survey was given to one hundred people asking whether they watch movies at home through Netflix or Amazon Prime. The results show 85 people watch movies at home through Netflix 70 people watch movies at home through Amazon Prime and 60 people watch movies at home through both services. How many people watch movies at home through neither Netflix nor Amazon Prime? 115 55 0
**********Question 3:************** Represent in set-builder notation the set containing all days of the week. {DAYS OF THE WEEK} {X | X IS A DAY OF THE WEEK} {MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY}
***********Question 4.************ Let U = {a b c d e f g h i j k l m n} L = {a b c d e f g} and S = {a b c d m}. Find L’ ∪ S’. {H I J K L N} {A B C D E F G M} {A B C D E F G H I J K L M N}
*******Question 5*********** Determine which region or regions in the Venn diagram below represent A’ U B’. II III AND IV IV I III AND IV
**********Question 6********** Given the following Venn diagram showing the cardinality of each set determine the cardinality of A ∪ B. 60 48 53
*********Question 7************ Let U = {a b c d e f g} A = {a c e f g} and B = {a d}. Construct a Venn diagram representing the relationship between these sets.
**************Question 8:*************** A survey was given to one hundred people asking whether they watch movies at home through Netflix or Amazon Prime. The results show 85 people watch movies at home through Netflix 70 people watch movies at home through Amazon Prime and 60 people watch movies at home through both services. How many people watch movies at home only through Netflix? 70 25 85
***********Question 9:*************** Determine which of the following is false. THE SETS {Y | Y IS A COLOR} AND {RED BLUE GREEN ORANGE YELLOW BLACK} ARE EQUAL. THE SET {MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY} AND THE SET OF ALL DAYS OF THE WEEK ARE NEITHER EQUAL NOR EQUIVALENT. THE SETS {M L N O P Q} AND THE SET OF ALL INTEGERS GREATER THAN 0 AND LESS THAN OR EQUAL TO 6 ARE EQUIVALENT.
***********Question 10:************** Let U = {1 2 3 4 5 6 7 8 9 10} M = {1 2 5 6 9 10} and N = {5 6 9}. Find M’∩ N. {5 6 9} {3 4 7 8}
***********Question 11:**************** Determine which of the following is true. {2} ∈ THE SET OF ALL EVEN NUMBERS YELLOW ∈ {RED BLUE ORANGE YELLOW BROWN BLACK} 4 ∈ {Y | Y IS AN ODD NUMBER DIVISIBLE BY 2}
*******Question 12************ A survey was given to one hundred people asking whether they watch movies at home through Netflix or Amazon Prime. The results show 85 people watch movies at home through Netflix 70 people watch movies at home through Amazon Prime and 60 people watch movies at home through both services. How many people watch movies at home through either Netflix or Amazon Prime? 100 155 95
*********Question 13:*********** Let U = {1 2 3 4 5 6 7 8 9 10} M = {1 2 5 6 9 10} and N = {5 6 9}. Determine which of the following sets equals (M ∪ N)’. M’ ∩ N’ M M’ ∪ N’
*****************Question 14:*************** The set of all consonants in the English alphabet and the set N = {x | x is a natural number and 1 ≤ x ≤ 21} are ____.
SIMILAR NEITHER EQUAL NOR EQUIVALENT EQUAL **************Question 15****************** The empty set is ____
of all sets but itself. NOT A SUBSET AN ELEMENT AND A SUBSET A PROPER SUBSET
Requirements: 1pg
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