Question

graph the compound inequality on the number line.
x < 5 and x ≥ 2

Explanation:

Step1: Mark the lower - bound

On the number line, put a closed circle at \(x = 2\) since \(x\geq2\) (a closed circle is used for \(\geq\) or \(\leq\)).

Step2: Mark the upper - bound

Put an open circle at \(x = 5\) since \(x<5\) (an open circle is used for \(<\) or \(>\)).

Step3: Shade the interval

Shade the region between the closed circle at \(2\) and the open circle at \(5\) to represent all the values of \(x\) that satisfy both inequalities.

Answer:

On the number line, there is a closed circle at \(2\), an open circle at \(5\), and the region between them is shaded.