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Answer :

In general,

[tex]\begin{gathered} |a|>b,b\geq0 \\ then, \\ a<-b \\ or \\ a>b \end{gathered}[/tex]

Applying this rule to our inequality, we have:

[tex]\begin{gathered} |ax-b|>c \\ \text{then,} \\ ax-b<-c------\text{Inequality}1 \\ or \\ ax-b>c-------\text{Inequality}2 \end{gathered}[/tex]

From the answer choices, the last answer choice is correct!

Answer[tex]\begin{gathered} ax-b<-c \\ or \\ ax-b>c \end{gathered}[/tex]