The compound inequality that describes graph (11) is:
x ≤ -3 or x ≥ 3
The compound inequality that describes graph (12) is:
-2 ≤ x ≤ 1
Here's an explanation of how to determine the compound inequality for each graph:
Graph (11)
The graph shows two intervals where the inequality is satisfied:
All values of x less than or equal to -3
All values of x greater than or equal to 3
Therefore, the compound inequality is:
x ≤ -3 or x ≥ 3
Graph (12)
The graph shows a single interval where the inequality is satisfied:
All values of x between -2 and 1, inclusive
Therefore, the compound inequality is:
-2 ≤ x ≤ 1