Graph each inequality and then give interval notation. (entry tip: use two o's as in octopus for infinity: 00 for \( \infty \) and -00 for \( -\infty \) ) \( x>-4 \)

Sure! Let's graph the inequality \( x > -4 \) and express the solution in interval notation. ### Graph of \( x > -4 \): ``` <-------------------●===================> -4 ``` - **Explanation:** - **● (Open Circle) at -4:** Indicates that -4 is **not** included in the solution (since the inequality is strictly greater than). - **Arrow (===================>) to the right:** Represents all numbers greater than -4. ### Interval Notation: \[ (-4,00) \] - **Explanation:** - **\( -4 \):** Starting point (not included, hence the parenthesis). - **\( 00 \):** Represents positive infinity, indicating that the solution extends indefinitely to the right. ### Summary - **Graph:** An open circle at -4 with shading extending to the right. - **Interval Notation:** \((-4,00)\)