Problem

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 \[ -9<7 x+5 \leq 11 \]

Solution

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 \(\boxed{(-2, 0.8571428571428571]}\).

From Solvely APP
Source: https://solvelyapp.com/problems/18693/

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