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Write the identity relation on the set P = {x, y, z}.

1. I = {(x, x), (y, y), (z, z)}
2. I = {(x, y), (y, z), (z, x)}
3. I = {(x, x), (x, y), (y, y)}
4. I = {(x, z), (y, x), (z, y)}

Correct answer: I = {(x, x), (y, y), (z, z)}

Solution

The identity relation on P is {(x,x), (y,y), (z,z)}, pairing each element with itself only.

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