Question

write an inequality for the graph shown below. use x for your variable.

Explanation:

Step1: Identify the critical point

The open circle is at \( x = -5 \), so the critical value is -5.

Step2: Determine the direction of the inequality

The arrow points to the right, indicating values greater than -5. Since it's an open circle, we use the "greater than" symbol (\(>\)) instead of "greater than or equal to".

Step3: Write the inequality

Combining the critical value and the direction, the inequality is \( x > -5 \).

Answer:

\( x > -5 \)