Abstract
2001:1. Let a, b, c > 0, a < bc and \(1 + a^{3} = b^{3} + c^{3}\). Prove that \(1 + a < b + c\).
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Barbeau, E.J. (2016). Inequalities. In: University of Toronto Mathematics Competition (2001–2015). Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-28106-3_3
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DOI: https://doi.org/10.1007/978-3-319-28106-3_3
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