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ac + bd > ab if a, b, c, d > 0 with a + b < c + d

Source: Netherlands - Dutch NMO 1967 p4

January 31, 2023
algebrainequalities

Problem Statement

The following applies: a,b,c,d>0,a+b<c+da, b, c, d > 0 , a + b < c + d Prove that ac+bd>ab.ac + bd > ab.
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