Friday, July 15, 2016

Names for Inequalities

Consider an inequality of the form a < x < b, that is, a < x and x < b. Trying to find a name for this type of inequality, I'm finding a thicket of different terminology:
  • Chained inequalities (Wikipedia). 
  • Combined inequalities (Sullivan Algebra & Trigonometry).
  • Compound Inequalities (Ratti & McWatters Precalculus, Bittinger Intermediate Algebra, OpenStax College Algebra).

Are there more? What is most common in your experience?

2 comments:

  1. "Inequality between more than two things?" Those terms make them sound like second-class citizens.

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    Replies
    1. Well, admittedly the expression needs to be defined in terms of simpler inequalities (with an "and" conjunction). For example: a < b is legitimate syntax in any programming language, but a < x < b is not.

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