194526

First I labelled every statement chronologically A-O, and label the 16th statement R as P&Q are being used. Then I systematically went through each statement and it's relationship with other statements. For example, A can be written as x cubed over 2 is less than 0, and the only statement that was always true if A was true was J, or x is less than 0, so A => J. but if x is less than 0 then x cubed over 2 is less than 0, so I knew that A <=> J. Repeat this process for every statement until all statements have a relationship with at least one other statement. Then I grouped together 4 P=>Q statements and 3 P<=>Q statements, those being E=>R, H=>K, L=>F, O=>G, A<=>J, B<=>M and I<=>N. with this we're left over with C and D, 0<x<1 and x squared + 4x + 4 = 0 respectively, which have no shared value of x thus no P=>Q or P<=>Q relationship. so I focused on C, and found that the only relationship C is in with any other statement is C=>F, so I replaced L=>F with C=>F, and compared the leftover statements L & D. L states that x = -2, which is the only root to D's equation, therefore L<=>D, and now every statement is in a pair with 4 P=>Q relationships and 4 P<=>Q relationships, that being E=>R, H=>K, C=>F, O=>G, A<=>J, B<=>M, I<=>N and L<=>D.