Inequalities — practice questions, page 12
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QuestionEvery relation in the line below holds at the same time. Statement: K ≤ L < M = N ≥ P Conclusions:…QuestionThe substitutions below are in force for this question only: '⊕' means 'is greater than', '⊖'…QuestionThree separate facts are recorded: V > W, W = X, and X ≥ Y. What is the relation between V and Y?QuestionThe chain W ≥ X ≥ Y ≥ Z does not support the conclusion W > Z. Replacing exactly one of its three…QuestionConsider these four claims taken together: P ≥ Q, Q > R, R ≥ S, and S > P. Which statement about…QuestionRead the key carefully — it is not the same as in other questions. In a certain code: '◆' means…QuestionIn a code '✦' means 'is not greater than' and '△' means 'is greater than'. Three statements are…QuestionRead the line below as one continuous chain of true relations. Statement: U ≤ V < W ≥ X…QuestionFour shelves are compared by height. Statement: S ≥ T > U = V Conclusions: I. S > V II. T ≥ S…QuestionA coding sheet gives each relation sign a playing-card suit: '♠' means 'is greater than or equal…QuestionFor which one of the following chains does the conclusion P > T definitely follow?QuestionThe symbols below are assigned quite differently from how they look: '⊕' means 'is less than or…QuestionFrom the single chain E ≤ F = G ≤ H, which of the following is the strongest valid conclusion…QuestionTwo inequalities are known to be true: M > N and P = Q. Which single additional statement would…QuestionThree of the following groups of inequalities are impossible. Which group CAN have all its…QuestionTriangles and a circle stand in for the five relation signs: '△' means 'is greater than', '▽'…QuestionOnly the relations written below are known. Statement: C ≥ D ≥ E < F Conclusions: I. C > E II. C ≥…QuestionThe relations below are given in words rather than symbols. K is at least as large as L. L is not…QuestionIt is given only that D ≥ E. Which pair of conclusions has the property that neither conclusion…QuestionThis question writes the relation signs as typographic marks: '¤' means 'is equal to', '†' means…QuestionAlong the chain H > J ≥ K = L > M, which of the following is the strongest conclusion about H and M?QuestionA student writes down the chain N ≤ P < Q ≤ N and claims all three relations hold together. What…QuestionRead the key carefully — it is not the same as in other questions. In a certain code: '◆' means…QuestionFor which one of the following chains does the conclusion R ≥ T FAIL to follow?QuestionThree separate statements are recorded: B ≥ C, C > D, and D = E. Conclusions: I. B > E II. C > E…
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