Prove or disprove the following statements:

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a) Every odd number greater than 3 can be written as the sum of two prime numbers.
b) If n is not a multiple of 3, then n² + 2 is a multiple of 3.
c) If n is an odd number, then n² + 4 is prime.
d) If X ⊆ A and Y ⊆ B , then X ∪ Y ⊆ A ∩ B.
 
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You'll probably get better advice if you show what you've already tried.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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