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Verb: set against
  1. Position in opposition or contrast to, either physically or conceptually
    "The white walls were set against dark furniture"; "Her optimism was set against his pessimism"
     
  2. Cause to be hostile or opposed to
    "The incident set the two groups against each other"
     
  3. Deduct or subtract from a total
    "The expenses were set against the profits"

Derived forms: setting against, sets against, set against