6.2.27 BINARY RELATIONS

Condition: a binary attitude is set \ (r \) on the set \ (\ {1.2,3,4 \} \). Check it for reflexivity, symmetry, anti -symmetry, transitivity. Find \ (\ delta_ {r}, \ rho_ {r}, r^{-1}, r^{2} \); depict these binary relationships on the coordinate plane. \ [\ \ Langle 1.1 \ Rangle, \ Langle 1.4 \ Rangle, \ Langle 2.2 \ Rangle, \ Langle 2.3 \ Rangle, \ Langle 2.4 \ Rangle, \ Langle 3.3 \ Rangle, \ Langle 3.4 \ Rangle, \ Langle 4.4 \ Rangle \} \]