Question

incorrect
your answer is incorrect.
write a compound inequality for the graph shown below.
use x for your variable.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x
x < 4 or x > 7

Explanation:

Step1: Analyze left boundary

The graph has an open circle at 4, so \(x > 4\).

Step2: Analyze right boundary

The graph has an open circle at 7, so \(x < 7\).

Step3: Combine inequalities

The shaded region is between 4 and 7, so use "and".

Answer:

\(4 < x < 7\) (or \(x > 4 \text{ and } x < 7\))