Determine whether the following relation R is reflexive, symmetric, antisymmetric, or transitive if (remember to prove...

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Determine whether the following relation R is reflexive, symmetric, antisymmetric, or transitive if (remember to prove your answer) a) R = Øx Ø: b) R {(x,y)x+y≥ 0) is on Z: {(x,y)llx] = lyl) is on Q: c) R 18 d) R= {((x,y),(w, z))| (x + y)² = (w + 2)²} is on RX R: e) R= {(A, B) A n B0 is on the set P of all sets (naively). Determine whether the following relation R is reflexive, symmetric, antisymmetric, or transitive if (remember to prove your answer) a) R = Øx Ø: b) R {(x,y)x+y≥ 0) is on Z: {(x,y)llx] = lyl) is on Q: c) R 18 d) R= {((x,y),(w, z))| (x + y)² = (w + 2)²} is on RX R: e) R= {(A, B) A n B0 is on the set P of all sets (naively).

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a The empty set empty set is always empty An empty relation is vacuously reflexive symmetric anisymm... View the full answer