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Sagot :
[tex]\begin{gathered} -|6x-10|>-82 \\ \text{Multiply both sides by -1:} \\ |6x-10|<82 \\ \text{Split into two equations:} \\ 6x-10<82\text{ (1)} \\ 6x-10>-82\text{ (2)} \\ \end{gathered}[/tex]
For (1):
[tex]\begin{gathered} 6x-10<82 \\ \text{Add 10 to both sides:} \\ 6x<82+10 \\ 6x<92 \\ \text{Divide both sides by 6:} \\ x<\frac{92}{6} \\ x<\frac{46}{3} \\ \end{gathered}[/tex]For (2):
[tex]\begin{gathered} 6x-10>-82 \\ \text{Add 10 to both sides:} \\ 6x>-82+10 \\ 6x>-72 \\ \text{Divide both sides by 6:} \\ x>-\frac{72}{6} \\ x>-12 \end{gathered}[/tex]Therefore, the solution is:
[tex]-12
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