For each statement in !"-#!, determine whether the statement is true or false. Prove the statement directly from the definitions if it is true, and give a counterex- ample if it is false. 1- For all integers a, b, and c, if a|b and a|c then a|(2b - 3c). 2- For all integers a, b, and c, if a|bc then a|b or a|c. 3- For all integers a and n, if a|n^2 and a