Which inequality represents the graph shown below?
A number line between negative 5 and 5 is shown with an open circle at negative 2 and a ray drawn to the right of negative 2.
(1 point)
Responses
x < –2
x < –2
x ≤ –2
x ≤ –2
x > –2
x > –2
x ≥ –2
x > –2
The inequality that represents the graph shown is x > -2.
To determine the correct inequality that represents the graph shown, we need to analyze the open circle and the ray.
The open circle indicates that the point -2 is not included in the solution set, meaning the inequality must use the less than or greater than symbol, rather than less than or equal to or greater than or equal to symbol.
The ray drawn to the right of -2 suggests that the solution set includes all numbers to the right of -2.
Therefore, the correct inequality that represents the graph is x > -2.