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Sets I Test
About Sets:

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.


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#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


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#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


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#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


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#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}


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Written Solutions:




#1:


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


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#2:


Solution:


a) {-2, -1, 0, 1, 2, 3}


b) { } or Ø


c) {4, 6, 8, 10, 12,...}


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#3:


Solution:


a) false


b) true


c) false


d) false


e) true


f) true


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#4:


Solution:


a) true


b) true


c) true


d) false


e) true


f) false


g) false


h) true


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#5:


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


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