MHB Understanding Sets, Relations, and Functions for Struggling Students

AI Thread Summary
The discussion revolves around a student's difficulties with understanding sets, relations, and functions, particularly in answering specific questions. The student provides their answers and expresses uncertainty, especially regarding the definitions of natural numbers and their inclusion of zero. There is a clarification needed on whether natural numbers are defined as including zero or starting from one, which affects the interpretation of the problems. The student seeks assistance with their attempts and is open to feedback on their drawn graphs. Overall, the conversation highlights common challenges faced by students in grasping foundational mathematical concepts.
Plonker1
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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 (ed's note: see below). 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.
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I will comment on a couple things, but are you including 0 in your definition of the natural numbers?
Meaning, do you define the natural numbers as
N = {0,1,2,...} or N = {1,2,...}

Some people include 0 and some do not.
 

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