-7x is less than equal to x + 1 is less than equal to 8x. Solve for x
 

Dear student,

Kindly find the answer to your query:


$$\begin{gathered} -7\mathrm{x}\le \mathrm{x}+1\le 8\mathrm{x} \\ \mathrm{Taking} \mathrm{first} \mathrm{two} \mathrm{inequality}, \\ -7\mathrm{x}\le \mathrm{x}+1 \\ 8\mathrm{x}+1\ge 0 \\ \mathrm{x}\ge \frac{-1}{8}......\left(1\right) \\ \mathrm{Taking} \mathrm{last} \mathrm{two} \mathrm{inequality}, \\ \mathrm{x}+1\le 8\mathrm{x} \\ 7\mathrm{x}-1\ge 0 \\ \mathrm{x}\ge \frac{1}{7}.....\left(2\right) \\ \mathrm{Combining} \mathrm{both} \mathrm{the} \mathrm{equation}, \\ \mathrm{x}\ge \frac{1}{7} \mathrm{is} \mathrm{the} \mathrm{answer}. \end{gathered}$$
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