Unit 1: Sets and Venn Diagrams

1. empty set 2. universal set 3. subset 4. set 5. element

1. A set that contains no elements 2. the set of all elements considered in a particular context. 3. a collection of objects that belong to another set. 4. a collection of objects. 5. a member of a set.

1. empty set 2. subset 3. universal set 4. element

1. { } 2. {7, 9, 11} 3. {..., -3, -1, 1, 3, ...} 4. 3

If U={1,3,5,...}, A={1,3}, B={5,7,...}, and C={}, match each set with its complement. 1. A={1,3} 2. C={} 3. B={5,7,...} 4. U={1,3,5,...}

1. {5,7,...} 2. {1,3,5,...} 3. {1,3} 4. {}

Checkpoint 1

100%

Which answer describes the union of two sets?

a set that contains all the elements of the two sets

Set A contains at least one element. Which sets are proper subsets of set A? Select all that apply.

a set that contains only some of the elements from set A a set that contains no elements

Consider the sets A={1,3,5,7} and B={11,13,15,21}. Which set represents a universal set?

odd integers

If X is the set of positive integers, what could the universal set be?

the set of all real numbers

What is the complement of a set?

the set of elements that are not in a given set

What is the complement of the empty set?

the universal set

Let U be a universal set that contains multiples of 10 between 10 and 100. U={10,20,30,40,50,60,70,80,90,100} Suppose X={20,40,60} and Y={30,60,90}. What is X′∪Y?

{10,30,50,60,70,80,90,100}

If set X={1,2,3,4,5}, which set is a subset of set X?

{2,4}

If A is the set of all positive, even numbers, which sets are subsets of A? Select all that apply.

{2,6,12} {} {2,4,6,...}

If Y={5,10,15,20,25}, which sets represent proper subsets? Select all that apply.

{5,15} {10}

Which set is a proper subset of the counting numbers?

{5}

If A={a,b,c,d}, B={d,e,f,g,h}, and C={e,i,o,u}, what is the union of the three sets?

{a,b,c,d,e,f,g,h,i,o,u}

I is the set of even integers. Which set is a proper subset of I?

{}

Which sets are proper subsets of the set of positive integers? Select all that apply.

{} the set of positive, odd integers {8,10,120}

Which sets are subsets of the set of negative integers? Select all that apply. 0.67/1

{−5,−15,−27} the set of odd, negative integers try also: {...,−3,−1}

If X={...,1,2,3}, then which set is a proper subset of X?

{−8,−10,−13}