Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter
\[
-9< 7 x+5 \leq 11
\]
Answer
Final Answer: The solution to the compound inequality is \(-2 < x \leq 0.8571428571428571\), which can be written in interval notation as \(\boxed{(-2, 0.8571428571428571]}\).
Step 1 ：The given inequality is a compound inequality. It can be solved by isolating the variable 'x' in the middle. This can be done by subtracting 5 from all parts of the inequality and then dividing all parts by 7.
Step 2 ：The inequality after isolating 'x' is \(-2 < x \leq 0.8571428571428571\). This can be written in interval notation as \((-2, 0.8571428571428571]\).
Step 3 ：Final Answer: The solution to the compound inequality is \(-2 < x \leq 0.8571428571428571\), which can be written in interval notation as \(\boxed{(-2, 0.8571428571428571]}\).
