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: N > T - T ≥ R - R = M. M < D Conclusions: I.D > R II.M < T III.M = T IV.M > D
2. Statements: N > A - A < L - F = N Conclusions: I. L > F II. F > A
3. Statements: Z > V - V < J - J ≤ M - M = R Conclusions: R > V II.M > V III.Z > M
4. Statements: K ≤ D - D > N - N = M - M ≥ W Conclusions: I.M < K II.N < K III.M ≥ D IV.W ≤ N
5. Statements: H ≥ V - V = M - K > M Conclusions: I.K > V II. - M ≤ H III.H > K
6. Statements: F ≤ M - M > R - E ≥ F Conclusions: I. M > E II. R ≥ E
7. Statements: H = K - T < H - W ≤ T Conclusions: I. K > W II. T < K
8. Statements: M ≤ R - R < T - T = N Conclusions: I. N > RII T > M III. N ≥ R
9. Statements: R ≤ D - D ≥ M - M = N Conclusions: I. R ≤ M II.N ≤ D III.N ≥ R
10. Statements: F ≥ K - K < B - B ≤ M Conclusions: I. M > F II. B > F
11. Statements: H ≤ W - W < N - N = R Conclusions: I. R > W II. N > W III. H < R
12. Statements: M < T - T > K - K = D Conclusions: I. D < T II - K < M
13. Statements: H < T - T ≤ B - B > R Conclusions: I.R > H II.B > H III.T < R
14. Statements: W = M - M ≤ R - R > F Conclusions: F < M II.R ≥ W vIll - W < F
15. Statements: H ≤ K - K = N - N < T Conclusions: I.T > K II.N = H III.H < N
16. Statements: F ≥ H - H > K - K = R. R ≤ M Conclusions: I.F > R II.F ≥ M
17. Statements: P < M - M ≤ R - R = T - T < L Conclusions: I. P < R II. P = R III. M ≤ L
18. Statements: B < H - H > J - J ≥ M Conclusions: I. B < J II.M < B III.H > M
19. Statements: F = W - W ≥ R - R < M - M > D Conclusions: I. D < R II. M > F III. R < D IV. R ≤ F
20. Statements: T ≤ R - R ≥ M - M = D - D < H Conclusions: I. D≤R II.H > R III.T < M IV.T ≤ D
21. Statements: H ≤ T - T ≥ L - L = F Conclusions: I. F ≤ H II. H ≤ L
22. Statements: J ≤ T - T < H - H > I - I = L Conclusions: I. L ≤ I III. J ≤ I
23. Statements: R > K - K = M - M ≤ B Conclusions: I.R > B II.B = K III.B < K
24. Statements: R = J - J ≥ D - D > F Conclusions: I. D = R II. D < R
25. Statements: W < N - N ≤ J - J ≥ B Conclusions: I. W < J ' II. B < N III W < B