Rules for inequalities, Mathematics

Here we look at only the rules without going into their proofs. They are:

  1. a < b, if and only, if b - a > 0.

  2. If a < b and b < c, then a < c.

  3. If a < b, then (a + c) < (b + c).

  4. If a < b, then -a > -b.

  5. If a < b and

  1. x = 0, then ax = bx

  2.  x < 0, then ax > bx

  3. x > 0, then ax < bx

      6. If 0 < a < b, then 0 < 1/b < 1/a.

Posted Date: 9/13/2012 2:13:16 AM | Location : United States

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