Consider the following statements: I. If $A \le B C E F \ge G = H$; then B is always greater than E. II. If $P Q = R \ge S = T \le U = V W$; then S is always less than V. Which of the statements given above is/are correct?

Question

Consider the following statements: I. If $A \le B > C E > F \ge G = H$; then B is always greater than E. II. If $P > Q = R \ge S = T \le U = V > W$; then S is always less than V. Which of the statements given above is/are correct?

Aicharya · Accepted Answer

Statement I: there is no continuous chain of strict inequalities linking B and E - the relation $C E$ breaks the link, so B and E cannot be definitely compared; not always true. Statement II: from $S=T\le U=V$ we get $S\le V$, meaning S could equal V, so 'S is always less than V' is not guaranteed. Neither statement is correct.

Consider the following statements: I. If $A \le B > C E > F \ge G = H$; then B is always greater than E. II.…

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