What is the purpose of error control in data

Statement: F ≥ G > I > E ≤ P, E = S ≥ P 

Conclusion: I. F ≥ P          II. G > P

Statement: Y < Z > I < Q > S = M ≤ N

Conclusions:

I. S= N

II. Q > M

Statements: P = Q = R > S > T > Z; U > R < V < W > X

Conclusions:

I. W > Z

II. R < W

III. R < X

Statements: E < F > G; H < I ≤ F; E > D

Conclusions:

I. F > D

II. H < E

III. G < D

Which of the following will be definitely false if the given expression F > G ≥ H > I ≥ J > K = M ≤ N > L ≤ O is definitely true?

Statements:  M @ N, P @ R, P & N

Conclusions:      a ) M @ P              b) R & M

Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J

Conclusion:

I. G > K

II. K > J

Statements: S = R, T ≤ U, O < J, T ≤ J, U > R

Conclusion:

I. R ≥ T

II. R < T

Statement: D < F; D ≥ E > G; I ≥ H > F

Conclusion:

I. G ≥ F

II. H ≥ D