Question

5.25x + 3.7 < -4.6x + 28.325
select the graph that represents the solution to the inequality.

Explanation:

Step1: Solve the inequality

$$\begin{align*} 5.25x + 3.7&<-4.6x + 28.325\\ 5.25x+4.6x&<28.325 - 3.7\\ 9.85x&<24.625\\ x&<\frac{24.625}{9.85}\\ x&<2.5 \end{align*}$$

Step2: Analyze the graph

Since \(x < 2.5\), there is an open - circle at \(x = 2.5\) and the arrow points to the left.

Answer:

The graph with an open - circle at \(2.5\) and the arrow pointing to the left.