Paolo solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

(1 point)
Responses

2.8x<10.5
2.8 x less than 10.5

2.1x<8.4

1 answer

To determine which inequality Paolo solved, we need to analyze the given options. However, without additional context such as the graph he produced and the solution set he found, we can only examine the inequalities mathematically.

Let's solve each inequality step by step.

  1. For the inequality \(2.8x < 10.5\): \[ x < \frac{10.5}{2.8} \approx 3.75 \] The solution set would be all values of \(x\) less than approximately 3.75.

  2. For the inequality \(2.1x < 8.4\): \[ x < \frac{8.4}{2.1} = 4 \] The solution set would be all values of \(x\) less than 4.

Based on these calculations, if Paolo's graph had an open interval to the left of approximately 3.75, he solved \(2.8x < 10.5\). If the graph extended to the left up to 4, then he solved \(2.1x < 8.4\).

If you provide the actual graph that Paolo created or more specific details about the solution and the plotted area, I can help identify which inequality he solved more accurately.