Homework 2.2 for test 2
Decide if the given statement is true or false. If it is false, give the reason. {track, soccer}⊆{track,hockey, tennis}
False; soccer is not in the set {track,hockey,tennis}
Decide if the given statement is true or false. If it is false, give the reason. 3∈ {3,4,8}
The statement is true;3 is an element of {3,4,8}.
Decide if the given statement is true or false. If it is false, give the reason. { }∈ {French,Irish,Greek}
The statement is false; { } is a set, not an element.
Decide if the given statement is true or false. If it is false, give the reason. 0= { }
The statement is false; 0 is a number and { } is a set.
Decide if the given statement is true or false. If it is false, give the reason. { }={∅}
The statement is false; the set {∅} contains the element ∅.
Decide if the given statement is true or false. If it is false, give the reason. {5,7,1} ⊂ {5,1,7}
This statement is false. No set is a proper subset of itself.
Decide if the given statement is true or false. If it is false, give the reason. {0}=∅
This statement is false. The set {0} contains the element 0.
Decide if the given statement is true or false. If it is false, give the reason {guidebook} ⊆{crossword book, magazine, guidebook}
True
Decide if the given statement is true or false. If it is false, give the reason. {purple} ⊂ {brown,purple,orange}
True
Decide if the given statement is true or false. If it is false, give the reason.Wizard ∈ {Gamestation,Wizard, Port'n'Play EX}
True
Decide if the given statement is true or false. If it is false, give the reason.{sailboat,ferry}⊂{ferry,motorboat,sailboat, yacht}
True
Decide if the statement is true or false. Assume that E≠∅, U≠∅, and E ⊂ U. ∅⊆E
True
Let set A={f, q, y}. a) List all the subsets of set A. b) State which of the subsets in part (a) are not proper subsets of set A.
a) {}, {f}, {q},{y},{f,q},{f,y},{q,y},{f,q, y} b) {f,q,y}
List all the subsets of the given set. ∅
{ }
List all the subsets of the given set. {sheep,pig}
{ }, {sheep},{pig},{sheep, pig}
A pizza parlor offers mushrooms, green peppers,tomatoes,and sausage as toppings for the plain cheese base. How many different types of pizzas can be made?
(4^2)=16 16 is the answer
Jeanna wants to visit San Jose, Jacksonville, Dallas,Phoenix,Fort Worth,Detroit,Houston, Baltimore,and Charlotte. If she decides to visit some, all, or none of these cities, how many travel options does she have?
2^9=512 (bc there are 9 cities) 512 is the answer
Determine whether A=B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. Set A is the set of people living in North Carolina. Set B is the set of people living in a state with a border on the Atlantic Ocean.
A ⊂ B A ⊆ B
Determine whether A=B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answer applies. Set A is the set of odd counting numbers smaller than 6. Set B is the set of odd natural numbers between 0 and 6.
A=B A ⊆ B B ⊆ A
Determine whether A=B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. A={nickel,penny,dime,quarter} B={nickel,quarter}
B ⊂ A B ⊆ A
Determine whether A=B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. A={x| x is a sport that uses a ball} B={tennis,volleyball, racquetball, field hockey}
B ⊆ A B ⊂ A