SOLUTION: Prove or Disprove: For all integers a and n, if a&#9474;nē and a < n, then a&#9474;n.

Algebra ->  Proofs -> SOLUTION: Prove or Disprove: For all integers a and n, if a&#9474;nē and a < n, then a&#9474;n.      Log On


   



Question 911181: Prove or Disprove: For all integers a and n, if a│nē and a < n, then a│n.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
False, let a = 4 and n = 10, for example. Then it is true that 4 | 100, and 4 < 10, but 4 does not divide 10.