A Level Maths Notes: C3 Solving Absolute Value Equations
Most equations of the form
have
two solutions. If we sketch the graphs of
the
graphs will cross at two points which will be the solutions to the
equations. For the graphs
(blue)
and
(red)

We can either read off the solutions or solve algebraically in the following way. When the modulus signs are removed the result can either be positive or negative.
or
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or
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or
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