Incompatible Relations

Incompatible Relations

Algebraic relations are said to be incompatible if they do not have any ordered pairs in common.


  • Two equations are incompatible if their solution sets are disjoints.
    The equations y = 2x + 1 and y = 2x + 5 correspond to two parallel lines on a Cartesian plane. These lines do not have any points in common. The equations that represent them are incompatible relations (equations).
  • Two inequalities are incompatible if their solution sets are disjoint.
    This is the case for the inequalities y < 2x + 1 and y > 2x + 5, because the half-planes that correspond to the solution sets of these inequalities are opposite.

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