Respuesta :

loneguy

[tex]~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}[/tex]

10n31y

first case

[tex]|x-1|=3\\\\x-1=3\\\\x=4[/tex]

second case

[tex]-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2[/tex]

The solutions are {-2, 4}

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