MathDB
Inequality

Source: 2005 National High School Mathematics League, Exam One, Problem 1

March 18, 2020
inequalities

Problem Statement

The maximum value of kk such that the enequality x−3+6−x≥k\sqrt{x-3}+\sqrt{6-x}\geq k has a real solution is (A)6−3(B)3(C)3+6(D)6\text{(A)}\sqrt6-\sqrt3\qquad\text{(B)}\sqrt3\qquad\text{(C)}\sqrt3+\sqrt6\qquad\text{(D)}\sqrt6
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