
                   Review of Inequalities and Absolute Value.
                   ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀


                           x      if  x ≥ O
                   │x│ =
                          -x      if  x < O


              │x - a│ < b     is the same as    -b  <  x - a  <  b


              If         a < b     then   b > a

              If         a < b     then   a + c < b + c

              If         a < b     then   ac < bc    if c > O

              If         a < b     then   ac > bc    if c < O

              If         a < b     then   a/c < b/c    if c > O

              If         a < b     then   a/c > b/c    if c < O

              If         a < b     then   ac < bc    if c > O

     If        ab > O     then either  a > O  &  b > O , or a < O  &  b < O

     If        ab < O     then either  a > O  &  b < O , or a < O  &  b > O



┌─────────────────┐
│ Common Mistakes │
└─────────────────┘

    Using         │x│ = x   instead of the definition for   │x│ .


WRONG    If  a < b then -a < -b      RIGHT    If  a < b then -a > -b .



This is the end of the help file.  Press the ESC key to return to the quiz
question you were doing.
