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Solve the inequality for x. Show each step of the solution.10x>9(2x-8)-20

User MattBianco
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1 Answer

19 votes
19 votes

Given,


10x>9(2x-8)-20

On simplifying the above equation,


\begin{gathered} 10x>18x-72-20 \\ \Rightarrow10x>18x-92 \\ \Rightarrow10x-18x>-92 \\ \Rightarrow-8x>-92 \end{gathered}

On further simplifying,


\begin{gathered} 8x>92 \\ \Rightarrow x>(92)/(8) \\ \Rightarrow x>11.5 \end{gathered}

Thus on solving the given inequality, we get, x>11.5

User Mbmc
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