Answer:
Interval Notation: (-4,4]
Explanation:
Given the compound inequality:
[tex]-5<2x+3\le11[/tex]
Subtract 3 from all sides of the inequality:
[tex]\begin{gathered} -5-3<2x+3-3\le11-3 \\ -8<2x\le8 \end{gathered}[/tex]
Next, divide all sides of the inequality by 2.
[tex]\begin{gathered} \frac{-8}{2}<\frac{2x}{2}\le\frac{8}{2} \\ -4The solution to the compound inequality in interval notation is:[tex](-4,4\rbrack[/tex]
Next, we graph the solution.
• Since we have, -4,• At, x≤4,, we use a ,closed circle,.
The graph is shown below:
