MathDB

4

Part of 1967 Dutch Mathematical Olympiad

Problems(1)

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

Source: Netherlands - Dutch NMO 1967 p4

1/31/2023
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.
algebrainequalities