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Indicate which of the following relations below are equivalence relations, strict partial orders, (weak) partial orders. If...

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Advance Math

Indicate which of the following relations below areequivalence relations, strict partialorders, (weak) partial orders. If arelation is none of the above, indicate whether itis transitive, symmetric, or asymmetric. I won't be grading proofsof your results here, but I highly suggest you know how to proveyour results.

  1. The relation ?=?+1 between intgers ?,?.
  2. The superset relation ? on the power set of integers.
  3. The divides relation on the nonnegative integers ?.
  4. The divides relation on all the integers ?.
  5. The divides relation on the positive powers of 4.

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