question archive 1)Express the set in roster form
1)Express the set in roster form
Subject:MathPrice: Bought3
1)Express the set in roster form.
B={x | x∈N and x≥4}
Choose the correct answer below.?
A. B={4, 5, 6, 7}
?B. B={4, 5, 6, 7, ...} ?
C. B={5, 6, 7, 8, ...} ?
D. B={4, 5, 6, 7, ..., 100}
?E. B={4}
?F. B={5, 6, 7, 8}
?G. B= ∅
2: Determine whether the following statement is true or false.
b ∈ ?{j?, d?, n?, w?, b?}
Choose the correct answer below.
A.The statement is false because b is not an element of the set.
B.The statement is false because b is a? set and not an element of the set.
C.The statement is true.
3: Determine whether sets A and B are? equal, equivalent,? both, or neither.
A is the set of letters in the word ?'cork?'.
B is the set of letters in the word ?'link?'.
Choose the description of the pair of sets.
A.Equal
B.Equivalent
C.Both equal and equivalent
D. neither equal nor equivalent
4: Decide if the given statement is true or false. If it is? false, give the reason.
?{canoe?, skiff?} ⊂ ?{skiff?, yacht?, canoe?, kayak?}
Choose the correct answer below.
A.This statement is false. ?"Canoe?" is not an element of the second set.
B.This statement is true.
C.This statement is false. The second set is a proper subset of the first set.
D.This statement is false. The two sets are equal.
E.This statement is false. ?"Skiff?" is not an element of the second set.
5:Decide if the given statement is true or false. If it is? false, give the reason.
?{3?, 5?, 8?} ⊂ ?{8?, 5?, 3?}
Choose the correct answer below.
A.This statement is true.
B.This statement is false. The second set does not contain all the elements present in the first set.
C.This statement is false. No set is a proper subset of itself.
D.This statement is false. The second set is a proper subset of the first? set, not the other way around.
E.This statement is false. The elements of the two sets are not in the same order.
6:A set contains nine elements.
?a) How many subsets do it? have?
?b) How many proper subsets do it? have?
?a) The set has ____ subsets. ?(Simplify your? answer.)
?b) The set has _____ proper subsets. ?(Simplify your? answer.)
7: U is the set of cities in a country.
A is the set of cities that have a subway system.
B is the set of cities that have a convention center.
Describe A ∩ B in words.
Choose the correct answer below.
A.A ∩ B is the set of cities in a country that have a convention center but do not have a subway system.
B.A ∩ B is the set of cities in a country that has both a subway system and a convention center.
C.A ∩ B is the set of cities in a country that have a subway system or a convention center?or both.
D.A ∩ B is the set of cities in a country that have a subway system but do not have a convention center.
8: Let D=?{2?,5?,7?}, E=?{2?,4?,5?,6?} and F=?{1?,3?,4?,5?,7?}.
List the elements in the set D ∪ E.
Select the correct choice below? and, if? necessary, fill in the answer box to complete you choice.
A.D ∪ E={ }
?(Use a comma to separate answers as? needed.)
B.D ∪ E is the empty set.
9: Let U={1,2,3,4,5,6,7,8,9,10}.
Let A={1,3,6,8,10}.
Let B={2,3,5,7,8}.
Determine (A−B)′.
Select the correct choice below? and, if? necessary, fill in the answer box to complete you choice.
A.(A−B)′= { }
?(Use a comma to separate answers as? needed.)
B.(A−B)′ is the empty set.
10: At a community? college, a survey was taken to determine where students study on campus. Of the 260 students? surveyed, it was determined that
173 studied in the library.
137 studied in the cafeteria.
78 studied in both the library and the cafeteria.
Complete parts ?a) through ?c).
?a) Of those students? surveyed, how many studied only in the? library?
?(Type whole? number.)
?b) Of those students? surveyed, how many studied only in the? cafeteria?
?(Type whole? number.)
?c) Of those students? surveyed, how many did not study in either of these? places?
?(Type whole? number.)
11: In a survey of employees at a fast-food? restaurant, it was determined that 10 cooked? food, 11 washed? dishes, 24 operated the cash? register, 5 cooked food and washed? dishes, 6 cooked food and operated the cash? register, 6 washed dishes and operated the cash? register, 3 did all three? jobs, and 3 did none of these jobs. Complete parts ?a) through f?) below.
?a) How many employees were? surveyed?
?(Simplify your? answer.)
?b) How many of the employees only cooked? food?
?(Simplify your? answer.)
?c) How many of the employees only operated the cash? register?
?(Simplify your? answer.)
?d) How many of the employees washed dishes and operated the cash register but did not cook? food?
?(Simplify your? answer.)
?e) How many of the employees washed dishes or operated the cash register but did not cook? food?
?(Simplify your? answer.)
?f) How many of the employees did at least two of these? jobs?
?(Simplify your? answer.)
