Combining Two Inequalities
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Avg score: 88% Most missed: “Statements:”
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: B = N - N ≥ T - T < K Conclusions: I. T = B II. T < B
2. Statements: D = K - K ≤ F - F > P Conclusions: I. P > D II.K ≤ P III.F ≥ D
3. Statements: Z < F - R ≤ F - D > R Conclusions: I.Z < R II.F < D III.D > Z
4. Statements: M = B - B > N - N - ≥ R - R < K Conclusions: I. K > B II.R < B III.M ≥ R IV.N < M
5. Statements: H ≤ T - T ≥ L - L = F Conclusions: I. F ≤ H II. H ≤ L
6. Statements: D = M - M ≥ B - B < R - R > T Conclusions: I. B < D II.B = D III.T < M
7. Statements: D = Q - Q > L - L ≥ B - B < G Conclusions: I. D > B II. B = D III. G > L
8. Statements: J > K - K ≤ T - T < N - N ≥ R Conclusions: I. J > T II. R ≤ T III. N > K IV. R ≤ K
9. Statements: M = K - D ≤ K - R < K Conclusions: I. D = M II. M > D
10. Statements: H < J - J = N - N > R Conclusions: I. R < J II.H > J III.N > H
11. Statements: F > H - M ≤ H - M ≥ R - G = M Conclusions: I. F ≥ R II. F > R III. H ≥ G
12. Statements: H ≤ W - W < N - N = R Conclusions: I. R > W II. N > W III. H < R
13. Statements: W ≤ V - V = Z - Z = D Conclusions: I. D ≤ V II. W ≤ Z
14. Statements: K ≥ D - D ≤ L - L ≥ J Conclusions: I.K ≤ L II. K ≤ J
15. Statements: R < K - K ≤ M. M > T - T ≥ J Conclusions: I. J < M II.R < M III.K ≤ J
16. Statements: H ≤ W - W = M - M < B Conclusions: I. B > H II.M ≥ H
17. Statements: T < M - M ≤ K - K ≥ F Conclusions: I.F < M II.F < T III.K > T
18. Statements: J > H - H = T - T ≤ R - R ≤ F Conclusions: I. J > R II. R > F III. J > T
19. Statements: M ≥ K - K = R - R < N Conclusions: I. R < M II.R = M III.N > K
20. Statements: W ≤ F - F = D - D < K - K ≥ J Conclusions: I. K > W II.D ≥ W III.F < K
21. Statements: H ≥ T - T ≤ M - M > F Conclusions: I. F < T II. H > M
22. Statements: K ≤ N - N ≥ T - T < J Conclusions: I. J > N II.K > T III.T > K
23. Statements: H > J - J = N - N ≤ R - R > W Conclusions: I. W % N II.W% H III.R = J IV.R > J
24. Statements: D ≤ R.R = F - F > T Conclusions: I.F = D II.F > D III.T < R
25. Statements: R < J. J > F - F ≤ H Conclusions: I. H > J II. R < F

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