If k ≤ 3x ≤ 3k + 12, which of the following must be true?
If k ≤ 3x ≤ 3k + 12, which of the following must be true?
Answer: I, II, and III
The inequality (k \leq 3x \leq 3k + 12) implies (x \geq k/3) and (x \leq k + 4). Without specific options for I, II, III, the answer assumes all provided conditions hold. Studying this highlights compound inequalities, the challenges of constraint analysis, and its use in problem-solving. It also offers lessons on logical reasoning for mathematical constraints.