Question

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

Explanation:

Step1: Identify the left - hand endpoint

The left - hand closed circle is at \(x = 3\), so \(x\geq3\).

Step2: Identify the right - hand endpoint

The right - hand closed circle is at \(x = 7\), so \(x\leq7\).

Step3: Combine the inequalities

Since the values of \(x\) are between 3 and 7 inclusive, we use the "and" connective.

Answer:

\(3\leq x\leq7\)