Question

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

Answer 1

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,

$\begin{gathered} 8x>92 \\ \Rightarrow x>\frac{92}{8} \\ \Rightarrow x>11.5 \end{gathered}$

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