Where is the headquarters of the Badminton Association

If the expressions G < L ≤ J > B, J ≤ A and G > H are true, which of the following conclusions will be definitely false?

Statement:  P = Q ≥ S ≥ T < O < Z ≥ X; T > H

Conclusion:

I.  H ≥ X

II.  P > H

Statements: U $ N © C @ H © Y

Conclusions: 

 I. U © H 

II. C # U 

III.H © U

Statements: Z % Y; X # W; U % V; W & V; Y @ X

Conclusions:     

Statements: A < B = C < D, A > E = F ≥ G ≥ H > I

Conclusions:

I. D > I

II. E = I

Statements: U > H ≥ W; S > T ≥ B; S < H; C ≤ D = U

Conclusions:

I. D > B

II. T < U

III. W ≤ D

Statements: L $ W, W * H, H # T, P % T

Statements: A ≥ B > C < D, E ≥ F ≥ G, D = H ≥ E

Conclusion:

I. B > F

II. D ≥ G

III. C < G

Statements: X < M = I > G < J ≤ S; Q ≥ M = J; S > T ≥ U

Conclusions:

I. S > M

II. Q > G

III. T ≥ I