Respuesta :

Solution (5):

Given;

[tex]5>|x-1|[/tex]

Switch sides;

[tex]|x-1|<5[/tex]

Now, we can apply the absolute rules;

[tex]-5Separate and simplify the compound inequality;[tex]\begin{gathered} -5-4 \end{gathered}[/tex]

Also;

[tex]\begin{gathered} x-1<5 \\ \\ x<5+1 \\ \\ x<6 \end{gathered}[/tex]

Thus, the solutions are;

[tex]x>-4,x<6[/tex]

Merge the inequalities;

[tex]-4ANSWER:[tex]-4\lt x\lt6[/tex]

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