The following is a general approach for solving absolute value inequalities of the form

# The following is a general approach for solving absolute value inequalities of the form

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The following is a general approach for solving absolute value inequalities of the form  ax  +  b | <  c   or  |  ax  +  b | >  c   ax  +  b | ≤  c   or  |  ax  +  b | ≥  c   If  c  is negative,  ax  +  b | <  c  has no solutions.  ax  +  b | ≤  c  has no solutions.  ax  +  b | >  c  has as its solution all real numbers.  ax  +  b | ≥  c  has as its solution all real numbers.  If  c  = 0,  ax  +  b | < 0 has no solutions.  ax  +  b | ≤ 0 has as its solution the solution to  ax  +  b  = 0.  ax  +  b | > 0 has as its solution all real numbers, except the solution to  ax  +

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## This note was uploaded on 11/10/2011 for the course MATH 1310 taught by Professor Staff during the Fall '07 term at Texas State.

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The following is a general approach for solving absolute value inequalities of the form

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