6.2.20 BINARY RELATIONS

Condition: for set on the set \ (a = \ {1,2,3,4,5 \} \) binary relationships \ (\ rho \) and \ (\ tau \): a) write matrices and build graphics; b) find the composition \ (\ rho \ circ \ tau \); c) investigate the properties of relations \ (\ rho, \ tau \) and \ (\ rho \ circ \ tau \) (reflexivity, irreflexiveness, symmetry, anti -symmetry, transitivity). \ [\ begin {array} {l} \ rho = \ {(x, y) | 2 \ leq | x-2 y \ mica \ leq 4 \} \\ \ tau = \ {(x, y) \ mic+y+1 \ equiv 1 (\ bmod 2) \} \ end {array} \]