If A×B={(1,1),(1,2),(1,3),(3,1),(3,2),(3,3),(4,1),(4,2),(4,3)} then
State, Whether the following statements are true of false.
(i) If a<b, then a−c<b−c
(ii) If a>b, then a+c>b+c
(iii) If a<b, then ac>bc
(iv) If a>b, then ac<bc
(v) If a−c>b−d; then a+d>b+c
(vi) If a<b, and c>0, then a−c>b−c where a, b, c and are real numbers and c≠0.