I dont understand these questions.. help?

[Stig-33]

My one friend email me and asked me for help with some multiple choice questions that she though I could do but I'm unsure about them and she needs a response today. Can anyone help? Do you know anyone who can help? I need to know today.. 20/03/2013. I'm not sure of these or their terms and I cant figure out anywhere else to get help.

Which one of the following relations on A has the property of trichotomy?
1. {(2, 1), (1, 3), (3, 2)}
2. {(2, 2), (2, 1), (1, 2)}
3. {(1, 2), (2, 3)}
4. {(1, 1), (2, 2), (3, 3)}

A-Consider the following relation on A:
R = {(1, 1), (2, 2), (3, 2), (3, 1)}.
Which one of the following statements regarding the relation R is TRUE?
1. R is irreflexive and antisymmetric.
2. R is antisymmetric and transitive.
3. R is antisymmetric but not transitive.
4. R is transitive but not antisymmetric.

B-Consider the following relation P on the set B = {1, 2, 3, a, b}:
P = {(1, 2), (2, 3), (a, 1), (b, a)}
Which one of the following relations represents the composition relation P ○ P?
1. {(1, 3)}
2. {(1, 3), (b, 1)}
3. {(2, 2), (a, a)}
4. {(1, 3), (a, 2), (b, 1)}

C-Let A, B and C be subsets of a universal set U. The statement (A ∩ B) + C = A ∩ (B + C) is NOT an identity. Which of the following sets A, B and C with U = {1, 2, 3, 4} provides a counterexample that can be used to show that the given statement is not an identity?
1. A = {1}, B = {1} & C = {1}
2. A = {1, 2}, B = {1} & C = {2}
3. A = {1}, B = {2} & C = {2, 3}

Let g be a function on Z (the set of integers) defined by
(x, y) ∈ g iff y = 6x2 – 4.
Answer questions by using the given function g.

D-Which one of the following is an ordered pair in g?
1. (–2, 20)
2. (2, 24)
3. (1, –2)
4. (3, 58)

E-Which one of the following alternatives represents the domain of g (i.e. dom(g))?
1. x = ±
2. {x | for some x ∈ Z, y = 6x2 – 4}
3. {x | 6x2 – 4 is not an integer}
4. {x | 6x2 – 4 is an integer}

F-The function g is NOT surjective. Which of one of the following values for y provides a counterexample that can be used to show that g is not surjective?
1. y = 20
2. y = 2
3. y = 1
4. y = – 4

G-Which one of the following alternatives represents the image of x under g ￮ g (i.e. g ￮ g(x))?
1. 216x4 – 288x2 + 92
2. 36x2 – 28
3. 36x4 – 48x2 + 16
4. 36x4 + 16

H-Which one of the following statements regarding the relation g is TRUE?
1. The composition g ￮ g is a function.
2. The composition g ￮ g is surjective.
3. g is an injective function.
4. g is a bijective function.
My one friend asked me for help with some multiple choice questions but I'm unsure about them and she needs a response today. Can anyone help? Do you know anyone who can help? I need to know today.. 20/03/2013. Im not sure of these.

 

[stapel]

Since you profess not to be familiar with the terms and topics involved, "help" would require either giving you the answers (which is cheating) or else trying to teach you a course or two (or more) in a single forum posting (which is infeasible).

So rather than our wasting your time and leaving you only more frustrated, please have your friend sign up and reply to your thread with a clear listing of what she's tried and where she's stuck. That way, we can most effectively get her the specific assistance she needs.

Thank you!

 

[Deleted member 4993]

My one friend email me and asked me for help with some multiple choice questions that she though I could do but I'm unsure about them and she needs a response today. Can anyone help? Do you know anyone who can help? I need to know today.. 20/03/2013. I'm not sure of these or their terms and I cant figure out anywhere else to get help.

Which one of the following relations on A has the property of trichotomy?
1. {(2, 1), (1, 3), (3, 2)}
2. {(2, 2), (2, 1), (1, 2)}
3. {(1, 2), (2, 3)}
4. {(1, 1), (2, 2), (3, 3)}

A-Consider the following relation on A:
R = {(1, 1), (2, 2), (3, 2), (3, 1)}.
Which one of the following statements regarding the relation R is TRUE?
1. R is irreflexive and antisymmetric.
2. R is antisymmetric and transitive.
3. R is antisymmetric but not transitive.
4. R is transitive but not antisymmetric.

B-Consider the following relation P on the set B = {1, 2, 3, a, b}:
P = {(1, 2), (2, 3), (a, 1), (b, a)}
Which one of the following relations represents the composition relation P ○ P?
1. {(1, 3)}
2. {(1, 3), (b, 1)}
3. {(2, 2), (a, a)}
4. {(1, 3), (a, 2), (b, 1)}

C-Let A, B and C be subsets of a universal set U. The statement (A ∩ B) + C = A ∩ (B + C) is NOT an identity. Which of the following sets A, B and C with U = {1, 2, 3, 4} provides a counterexample that can be used to show that the given statement is not an identity?
1. A = {1}, B = {1} & C = {1}
2. A = {1, 2}, B = {1} & C = {2}
3. A = {1}, B = {2} & C = {2, 3}

Let g be a function on Z (the set of integers) defined by
(x, y) ∈ g iff y = 6x2 – 4.
Answer questions by using the given function g.

D-Which one of the following is an ordered pair in g?
1. (–2, 20)
2. (2, 24)
3. (1, –2)
4. (3, 58)

E-Which one of the following alternatives represents the domain of g (i.e. dom(g))?
1. x = ±
2. {x | for some x ∈ Z, y = 6x2 – 4}
3. {x | 6x2 – 4 is not an integer}
4. {x | 6x2 – 4 is an integer}

F-The function g is NOT surjective. Which of one of the following values for y provides a counterexample that can be used to show that g is not surjective?
1. y = 20
2. y = 2
3. y = 1
4. y = – 4

G-Which one of the following alternatives represents the image of x under g ￮ g (i.e. g ￮ g(x))?
1. 216x4 – 288x2 + 92
2. 36x2 – 28
3. 36x4 – 48x2 + 16
4. 36x4 + 16

H-Which one of the following statements regarding the relation g is TRUE?
1. The composition g ￮ g is a function.
2. The composition g ￮ g is surjective.
3. g is an injective function.
4. g is a bijective function.
My one friend asked me for help with some multiple choice questions but I'm unsure about them and she needs a response today. Can anyone help? Do you know anyone who can help? I need to know today.. 20/03/2013. Im not sure of these.

Duplicate Post:

http://answers.yahoo.com/question/index?qid=20130320023240AAavoXF

http://answers.yahoo.com/question/index?qid=20130319234303AA68RMS

 

[Stig-33]

Thanx, And yeah I did post on yahoo answers, I have given her the number to a tutoring place that is near by but she can only attend after she gets paid, I did maths literacy so NO I don't under stand what's going on, Everyone else just gives me blank stairs like they never seen this stuff before. Funny enough a lot of them did higher grade maths in HS apparently.

 

[JeffM]

Thanx, And yeah I did post on yahoo answers, I have given her the number to a tutoring place that is near by but she can only attend after she gets paid, I did maths literacy so NO I don't under stand what's going on, Everyone else just gives me blank stairs like they never seen this stuff before. Funny enough a lot of them did higher grade maths in HS apparently.

These questions look as though they come from fairly early in a course on abstract algebra, which in the US at least is generally taught as a college-level course for students with a fairly serious interest in math. I took it after calculus and numerical methods. Most of the people in my class on abstract algebra had also previously taken a course in linear algebra, and my ignorance of linear algebra was a drawback when studying abstract algebra. Of course, everyone in the course was perfectly at home with elementary algebra. I wonder whether your friend is in the right course; abstract algebra is not something that anyone seeking to become mathematically literate should attempt.