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**1. R on the set (the reals) defined by xRy iff (x < 0) or (x > or equal to 0 and x = y)**

**2. None**

**3.**

**Reflexive**- Yes, since no matter what x I choose, x will always be equal to x, and will therefore fit the conditions of the relation.

**Symmetric**- It is symmetric because if I choose a positive y, then it is symmetric because of (x > or equal to 0 and x = y). If I choose a negative y, it is symmetric because of (x < 0).

**Transitive**- I am a little unclear on this one. I

**think**however, that it

**is**transitive because if I choose a positive z, then it is transitive because of (y > or equal to 0 and y = z). If I choose a negative z, it is transitive because of (y < 0).

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