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

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