Exactly one of the three relations below is an equivalence relation. For each of the three: State whether it is the equivalence relation or not. If that relation is the equivalence relation, write a short proof including the correct vo- cabulary for all the properties that an equivalence relation must satisfy. • If not, explain which property of equivalence relations fails to be satisfied. For each of the relations below, the domain is the integers Z. Part A The relation aRb means that a - b < 5. Part B The relation aRb means that a + b is a multiple of 3. Recall that x is a multiple of y if there exists an integer c such that x = cy. Part C The relation aRb means that ab ≥ 0.

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Q: How do I solve this ?

A: GIVEN: 6 - x - x2  if x ≤ 32x - 5         if x &gt; 3

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A: NO, I don't agree with Noah. His approach is incorrect.

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Q: Can you write part a a bit more clearly. I can't understand what's happening where you are…

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Q: solution is typed off the page

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Q: please answer part d as well. i dont see the solution anywhere here.

A: According to the given information in this question We need to answer part d

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A: 1,2,3....,23,24,25 are called element of set S.  Hence, set S has 25 element which mean n(S) = 25…

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