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Combining Two Inequalities
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Two inequalities will be combined if and only if they have a common term. Golden rule to draw conclusions We can draw a definite conclusion if and only if all the signs in the combined inequality are pointing in the same direction.
Combining Two Inequalities
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25 Questions

1. Statements: M < T - T > K - K = D Conclusions: I. D < T II - K < M
2. Statements: K ≤ D - D > N - N = M - M ≥ W Conclusions: I.M < K II.N < K III.M ≥ D IV.W ≤ N
3. Statements: F > W - W ≤ M - M ≥ R Conclusions: I. R ≤ W II. F > R III. W = R
4. Statements: D ≥ B - B > H - H = F Conclusions: I. F < B II. F < D III. H < D
5. Statements: E ≤ P - P ≤ H - H ≥ I - I > K Conclusion I. P = I II. I ≤ E III. H ≤ K
6. Statements: B < J - J ≥ W - W > M Conclusions: I.. M < J II.W < B III.B > M
7. Statements: R < Q - Q > P - P ≤ V - V ≥ M Conclusions: I.R < P II.R ≥ P
8. Statements: R = K - T ≤ K - T ≥ M - M < W Conclusions: I. W > K II.M ≤ R III.T ≤ R
9. Statements: R ≤ N. N ≥ F - F > B Conclusions: I. F = R II. B < N
10. Statements: B ≤ D - D ≥ J - J = F Conclusions: I.B ≤ J II.B = J III.F ≤ D
11. Statements: R > K - K = M - M ≤ B Conclusions: I.R > B II.B = K III.B < K
12. Statements: Z = M - M ≤ F - F > D Conclusions: I. F = Z II. F > Z III. D < Z
13. Statements: N ≤ A - A > J - J ≥ D Conclusions: I. N < J II. A ≥ D III. D < A
14. Statements: N > A - A < L - F = N Conclusions: I. L > F II. F > A
15. Statements: V < K - K ≥ B - B > M Conclusions: I.V < B II.M < K III.M < V
16. Statements: H < J - J = N - N > R Conclusions: I. R < J II.H > J III.N > H
17. Statements: D = M - M ≥ B - B < R - R > T Conclusions: I. B < D II.B = D III.T < M
18. Statements: D ≥ B - B > T - T = M Conclusions: I. T ≤ D II. M ≤ D
19. Statements: F < D - D > K - K ≤ B Conclusions: I. B > D II.F < K III.B > F
20. Statements: R < K - K ≤ M. M > T - T ≥ J Conclusions: I. J < M II.R < M III.K ≤ J
21. Statements: J > K - K ≤ T - T < N - N ≥ R Conclusions: I. J > T II. R ≤ T III. N > K IV. R ≤ K
22. Statements: H ≤ T - T ≥ L - L = F Conclusions: I. F ≤ H II. H ≤ L
23. Statements: J > H - H = T - T ≤ R - R ≤ F Conclusions: I. J > R II. R > F III. J > T
24. Statements: B ≤ D - D = M - F > M Conclusions: I. B < M II. F > B
25. Statements: H ≥ R - R ≤ M - M = N Conclusions: I. H > M II.N > R III.N = R

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