MathDB
0<abc<4

Source: oliforum contest, round 1, problem 3

September 21, 2008
calculusderivativesymmetryinequalities unsolvedinequalities

Problem Statement

Let a,b,c a,b,c be three pairwise distinct real numbers such that a\plus{}b\plus{}c\equal{}6\equal{}ab\plus{}bc\plus{}ca\minus{}3. Prove that 0<abc<4 0<abc<4.
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