solve the compound inequality and graph the solution set.\n-11 < 2x - 5 < -1\nsolution:\ngraph:\n
solve the compound inequality and graph the solution set.\n-11 < 2x - 5 < -1\nsolution:\ngraph:\n
Answer
Explanation:
Step1: Add 5 to all parts
$$ \begin{align*} -11 + 5&<2x-5 + 5<-1 + 5\ -6&<2x<4 \end{align*} $$
Step2: Divide all parts by 2
$$ \begin{align*} \frac{-6}{2}&<\frac{2x}{2}<\frac{4}{2}\ -3&<x<2 \end{align*} $$
Answer:
The solution of the compound inequality is (-3 < x < 2). The correct graph is the one with an open - circle at (-3), an open - circle at (2), and a red line connecting them (the third option in the first row of the graph choices).