Question

which graph shows the solution set for $-4.4geq1.6x - 3.6$?

Explanation:

Step1: Solve the inequality

$$\begin{align*} -4.4&\geq1.6x - 3.6\\ -4.4+3.6&\geq1.6x\\ -0.8&\geq1.6x\\ x&\leq\frac{-0.8}{1.6}\\ x&\leq - 0.5 \end{align*}$$

Step2: Analyze the number - line

A closed circle at a point on the number - line indicates that the point is included in the solution set. Since \(x\leq - 0.5\), we look for a number - line with a closed circle at \(-0.5\) and an arrow pointing to the left (towards smaller numbers).

Answer:

The number - line with a closed circle at \(-0.5\) and an arrow pointing to the left.