Lynetta17 Lynetta17
  • 23-07-2015
  • Mathematics
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Find the solution set of this inequality enter in interval notation using grouping symbols. |-4x - 14|<6

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  • 23-07-2015
[tex]|-4x-14|\ \textless \ 6 \\ -4x-14\ \textless \ 6 \ \land \ -4x-14\ \textgreater \ -6 \\ -4x\ \textless \ 6+14 \ \land \ -4x\ \textgreater \ -6+14 \\ -4x\ \textless \ 20 \ \land \ -4x\ \textgreater \ 8 \\ x\ \textgreater \ \frac{20}{-4} \ \land \ x\ \textless \ \frac{8}{-4} \\ x\ \textgreater \ -5 \ \land \ x\ \textless \ -2 \\ \boxed{x \in (-5,-2)}[/tex]
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