# Thread: Sets, Relations and Functions

1. ## Sets, Relations and Functions

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I'm having issues with the first four questions and have uploaded them. My attempts are shown below.

1.
a) True, all elements of E are even
b) False, 0 is not a multiple of 3
c) True, 8 is even and 9 is a multiple of 3
d) No idea
e) False, 6 is an element of E and T
f) No idea

2.
a) You can see my drawing attempt on imgur, sorry for the messiness. The parts meant to be coloured in are in black.
b) This claim is false
c) I drew up another graph that I guessed proves it is false. Am I correct?

3&4 I have no idea how to do.

Thank you so much for any help,
A struggling student.

2. ## Re: Sets, Relations and Functions

Originally Posted by Plonker
@Plonke, A struggling student.
Here is my feeling, if a student is asking for free help and is to darn lazy to type out the questions and give us a sample of work done and tell us what is confusing the forget it.
So
1. Type out your assigned questions.
2. Show the work you have done.
3. Tell us what is confusing you about those questions.

3. ## Re: Sets, Relations and Functions

1.
a) True, all elements of E are even - Correct

b) False, 0 is not a multiple of 3 - Incorrect, 0 = 3x0

c) True, 8 is even and 9 is a multiple of 3 - Correct

d) No idea - why not? Do you know what E x T means? (the answer is obvious if you do)

e) False, 6 is an element of E and T - Correct

f) No idea - $\mathcal{P}(U)$ refers to the Power set of $U$, i.e. the set of all subsets of $U$

the answer should be pretty clear with some thought.

2.
a) You can see my drawing attempt on imgur, sorry for the messiness. The parts meant to be coloured in are in black.

This is a mess. Take a look at this instead.

you are correct about the claim.

b) This claim is false

c) I drew up another graph that I guessed proves it is false. Am I correct?

No. They want a proof using set theory.

You digest all this and I'll look at 3 & 4.

3&4 I have no idea how to do.