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Look at the figure: AB is a straight segment and C is a point lying ON segment AB (between A and B).
According to Euclid's axiom 'the whole is greater than the part', which inequality is always TRUE?

Class 9Euclid's AxiomsGeometry — Foundations
  • AAB > AC
  • BAC > AB
  • CAB = AC
  • DAC > CB always equals AB

Step-by-Step Solution

C lies between A and B, so AC is a part of the whole AB. The whole AB is greater than the part AC: AB > AC.
Answer: A) AB > AC

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