Question

1. 18 > 6r ≥ 6

Explanation:

Step1: Divide the compound - inequality

Divide each part of the inequality \(18>6r\geq6\) by 6.
\(\frac{18}{6}>\frac{6r}{6}\geq\frac{6}{6}\)

Step2: Simplify the inequality

Simplify the fractions: \(3 > r\geq1\)

Answer:

The solution of the inequality \(18 > 6r\geq6\) is \(1\leq r<3\). On the number - line, we have a closed circle at \(r = 1\) and an open circle at \(r = 3\) with the line segment between them shaded.