Discussion
Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that makes the expressions ‘B>N’ as well as ‘D <= L’ definitely true?
B__L__O__N__D
Answer: D
Correct answer: >, =, =, >=
Substituting the keyed symbols into \( B \_ L \_ O \_ N \_ D \) gives \[ B > L = O = N \ge D. \] For \( B > N \): L, O and N are all equal, and B exceeds L, so \( B > N \) - definitely true. For \( D \le L \): the last link gives \( N \ge D \), and \( N = L \), so \( D \le L \) - definitely true. The other sets break one requirement or the other. The first, \( =,=,\ge,\ge \), makes \( B = L \), so \( B > N \) cannot be guaranteed. The third, \( >,<,=,\le \), points L below O and so leaves B and N unlinked. One caveat worth noticing: the set \( >,=,\ge,> \) yields \( B > L = O \ge N > D \), which also makes both required expressions true, so this item admits more than one working answer.
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