MathDB
Inequality

Source: 2003 National High School Mathematics League, Exam One, Problem 13

March 16, 2020
inequalities

Problem Statement

Prove that 21+x+2x−3+15−3x<2192\sqrt{1+x}+\sqrt{2x-3}+\sqrt{15-3x}<2\sqrt{19}, where 32≤x≤5\frac{3}{2}\leq x\leq5.
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