Question

24.5x + 3 < -8.2x - 8.9
select the graph that represents the solution to the inequality

Explanation:

Step1: Solve the inequality

$$\begin{align*} 24.5x + 3&<-8.2x-8.9\\ 24.5x+8.2x&<-8.9 - 3\\ 32.7x&<-11.9\\ x&<-\frac{11.9}{32.7}\approx - 0.364 \end{align*}$$

Since \(x < - 0.364\), and on the number - line, an open - circle is used for \(<\) (not including the point) and the arrow points to the left (towards smaller numbers).

Answer:

The second graph (with an open - circle at approximately \(-0.364\) and the arrow pointing downwards (left - direction on the vertical number - line)) is the correct graph.