Math Assignment 6 Question and Answers, VERIFIED

Assignment 6

Match the sets in the right column to the sets in the left column by clicking and
dragging them
{x | x is a real number such that x² = 1}
{1,-1}
{x | x is a positive integer less than 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
{x | x is the square of an integer and x < 100}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
{x | x is an integer such that
x² = 2} Ø

Use set builder notation to give a description of each of
these sets. a) {0, 3, 6, 9, 12}
{3n | n = 0, 1, 2, 3, 4}
b) {−3,−2,−1, 0, 1, 2, 3}
{x | −3 ≤ x ≤ 3}, where the domain is the set of integers.
c) {m, n, o, p}
{x | x is a letter of the word monopoly other than l or y}

Find two sets A and B such that A ∈ B and A 드 B.
A = Ø and B = {Ø}

Consider the set A = {a, b, {a, b}}, where a and b are distinct elements.
The number of elements in P(A) is .
8

The set P(PØ)) has

elements. 2

Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Match the cartesian products (in
the left column) to their corresponding member sets (in the right column).
3Correct: 2
A × B × C = {(a, x, 0), (a, x, 1), (a, y, 0), (a, y, 1), (b, x, 0), (b, x, 1), (b, y, 0), (b, y, 1), (c, x, 0), (c,
x, 1), (c, y, 0), (c, y, 1)}
C × B × A = {(0, x, a), (0, x, b), (0, x, c), (0, y, a), (0, y, b), (0, y, c), (1, x,a), (1, x, b), (1, x, c), (1, y, a),
(1, y, b), (1,
y, c)}
C × A × B = {(0, a, x), (0, a, y), (0, b, x), (0, b, y), (0, c, x), (0, c, y), (1, a, x), (1, a, y), (1, b, x), (1, b,
y), (1, c,x), (1,
c, y)}
B × B × B = {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, x, x), (y, x, y), (y, y, x), (y, y, y)}


Let A be the set of students who live within one mile of school and let B be the
set of students who walk to classes. Describe the students in each of these sets.
a) A U B
The set of students who either live within one mile of school or walk to class
b) B – A
The set of students who live more than a mile from school but nevertheless walk to
class
c) A − B

,The set of students who live within one mile of school but do not walk to class
d) A ∩ B
The set of students who live within one mile of school and walk to class

Suppose that A is the set of sophomores at your school and B is the set of
students in discrete mathematics at your school. Match the sets given in the left
to their symbolic expression in the right.
1. The set of sophomores taking discrete mathematics in your school
2. The set of students at your school who either are not sophomores or are
not taking discrete mathematics
3. The set of sophomores at your school who are not taking discrete mathematics
4. The set of students at your school who either are sophomores or are
taking discrete mathematics
a the set of sophomores taking discrete mathematics in your school : A ∩ B
b the set of sophomores at your school who are not taking discrete mathematics: A – B
c the set of students at your school who either are sophomores or are taking discrete mathematics: A
UB
d the set of students at your school who either are not sophomores or are not taking discrete
mathematics: Ā U (B WITH LINE)


Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Match the given sets in the left to their
corresponding values in the right.
A U B : {0, 1, 2, 3, 4, 5, 6}
A ∩ B : {3}
A − B: {1, 2, 4, 5}
B − A : {0, 6}

Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Match the given sets in the left
to their corresponding values in the right.
A U B : {a, b, c, d, e, f, g, h}
A ∩ B : {a, b, c, d,
e} A − B: Ø
B − A : {f, g, h}

Find the symmetric difference of {1, 3, 5} and {1, 2, 3}.
{2, 5}

Assignment 7

Let A be the set of students who live within one mile of school and let B be the
set of students who walk to classes. Describe the students in each of these sets.
a) A U B
The set of students who either live within one mile of school or walk to class
b) B – A
The set of students who live more than a mile from school but nevertheless walk to
class
c) A − B
The set of students who live within one mile of school but do not walk to class
d) A ∩ B
The set of students who live within one mile of school and walk to class

,Suppose that A is the set of sophomores at your school and B is the set of
students in discrete mathematics at your school. Match the sets given in the left
to their symbolic expression in the right.
1. The set of sophomores at your school who are not taking discrete mathematics
2. The set of students at your school who either are sophomores or are
taking discrete mathematics
3. The set of sophomores taking discrete mathematics in your school
4. The set of students at your school who either are not sophomores or are
not taking discrete mathematics

Why is f not a function from R to R if
a) f(x) = 1/x




b)



c)




Click and drag the domain and range in the left to their corresponding functions
defined in the right.
answer below…..

, Find the following terms of the sequence {an}, where an =
2⋅(−3)n + 5n. a0 =
3
a1 =
-1
a4 =
787
a5 =
2639

What are the terms a0, a1, a2, and a3 of the sequence {an}?
For the sequence an = 2n + 1, identify the values of a0 = , a1 = , a2 = ,
and a3. =
a0 = 2, a1 = 3, a2 = 5, and a3 = 9
Find the values of the terms of the sequence an = (n +
1)(n + 1). a0 = 1
a1 = 4
a2 = 27
a3 = 256
For the sequence an = [n/2], the values of the terms of the sequence are a0 =, a1 =,
a2 =, and a3 =.
a0 = 0, a1 = 0, a2 = 1, and a3 = 1
Match the terms of the sequence an = [n/2] + [n/2] (in the left column) to their values (in
the right column).
The values of the terms of the sequence are a0 = 0, a1 = 1, a2 = 2, and a3 = 3.