Question

what compound inequality describes this graph? write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

Explanation:

Step1: Analyze left - hand side of graph

The graph has a closed - circle at \(x = 0\) and the arrow points to the left. This represents \(x\leq0\).

Step2: Analyze right - hand side of graph

The graph has a closed - circle at \(x = 4\) and the arrow points to the right. This represents \(x\geq4\).

Step3: Combine the inequalities

Since the two parts are non - overlapping, we use the "or" connective.

Answer:

\(x\leq0\) or \(x\geq4\)