A set is a collection of things in which the order is not important. We enclose the items or elements of a set with curly braces: “{}”. We name sets with capital letters such as A, B, or K. We can say set A is the set of whole numbers that are even and less than 12: A = {0, 2, 4, 6, 8, 10}
Test Objectives:•Demonstrate the ability to list the elements of a set using the roster method
•Demonstrate the ability to determine if one set is a subset of another
•Demonstrate the ability to determine if a particular element belongs to given set
Sets I Test:
#1:
Instructions: List the elements of each set using the roster method.
a) The set of all whole numbers less than 9
b) The set of states that border Idaho
c) The set of oceans on planet earth
d) The set of female presidents of the U.S.
#2:
Instructions: List the elements of each set using the roster method.
a) The set of all integers between -3 and 4
b) The set of letters of the alphabet between "a" and "b"
c) The set of all even integers larger than 2
#3:
Instructions: Determine if each statement is true or false.
A = {3,7,5} : B = {6,2,1}
C = {1,2,3,4,5,6,7,8,9,10,11}
a) 6 ∈ A
b) 10 ∈ C
c) 2 ∉ B
d) B ⊂ A
e) A ⊂ C
f) B ⊂ C
#4:
Instructions: Determine if each statement is true or false.
A = {a,c} : B = {d,e}
C = {a,b,c,d,e,f,g,h}
D = {n,p} : E = {a,e}
a) n ∈ D
b) p ∉ B
c) a ∈ A
d) e ∉ C
e) B ⊂ C
f) A ⊂ D
g) A ⊂ E
h) E ⊂ C
#5:
Instructions: Determine the number of subsets that can be made from each set, then list the subsets.
a) A = {1,8,7,5}
b) D = {a,e,o}
Written Solutions:
Solution:
a) {0, 1, 2, 3, 4, 5, 6, 7, 8}
b) {Utah, Nevada, Oregon, Washington, Montana}
c) {Pacific, Atlantic, Indian, Southern, Arctic}
d) { } or Ø
Solution:
a) {-2, -1, 0, 1, 2, 3}
b) { } or Ø
c) {4, 6, 8, 10, 12,...}
Solution:
a) false
b) true
c) false
d) false
e) true
f) true
Solution:
a) true
b) true
c) true
d) false
e) true
f) false
g) false
h) true
Solution:
a) 16 : {1}, {8}, {7}, {5}, {1,8}, {1,7}, {1,5}, {8,7}, {8,5}, {7,5}, {1,8,7}, {1,7,5}, {8,7,5}, {1,8,5}, {1,8,7,5}, Ø
b) 8 : {a}, {e}, {o}, {a,e}, {a,o}, {e,o}, {a,e,o}, ø