(iii ) Suppose that we already know the following [ refer to (1.3 ) and ( 1.4) ] hold for a particular fixed integer N 2 3: for any integer K satisfying (1.2 ) N 2 K 2 2, we have (1.3 ) PK ( K) ... > PK ( 6K ) . when K is odd ; and when K is even : (1.4 ) PK ( K ) ... > PK (6K ) . [ Note that you are not required to prove ( 1.3 ) and (1.4 ) . It is assumed that ( 1.3 ) and (1.4 ) hold for that particular fixed integer N 2 3. ] With this knowledge [ namely, (1.3 ) or ( 1.4 ) holds for this particular integer N 2 3 and for all integer K satisfying (1.2 ) ] , show the following [ (1.5 ) and (1.6 ) ]. (1.5 ) PN+I(N + 1) .. > PN+1 ( 6 [ N + 1] ) . 2 2 when [ N + 1 ] is odd; and when [ N + 1 ] is even : (1.6 ) PN+1(N + 1) ... > PN+1 ( 6 [ N + 1] ) . Note that if you use another method [ not from (1.3 ) and (1.4) ], you may not be awarded full credit to this part