Discussion
Statement: A > B, D > E, C = D, E > F, B ≥ C
Conclusions:
I. B ≥ E
II. B > F
Answer: B
Correct answer: Both conclusions a and b follow
The statements are \( A > B \), \( D > E \), \( C = D \), \( E > F \) and \( B \ge C \). They assemble into a single descending chain with no reversal anywhere: \[ A > B \ge C = D > E > F. \]
I. \( B \ge E \): reading from B, \( B \ge C = D > E \) contains a strict link, so in fact \( B > E \) - more than the conclusion asks. Follows.
II. \( B > F \): continue one link further, \( B \ge C = D > E > F \), strict twice over. Follows.
Both follow. When the statements line up into one unbroken chain like this, every comparison along it is decidable, and the only work is checking whether at least one strict link falls between the two elements named.
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