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In: Advanced Math

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

Indicate which of the following relations below are equivalence relations, strict partial orders, (weak) partial orders. If a relation is none of the above, indicate whether it is transitive, symmetric, or asymmetric. I won't be grading proofs of your results here, but I highly suggest you know how to prove your 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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