Question

Use the image to answer the question.

A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 4. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.

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

(1 point)
Responses

3.7x>14.8
3.7 x greater than 14.8

2.8x<10.5
2.8 x less than 10.5

2.1x<8.4
2.1 x less than 8.4

4.9x>19.6

Answer 1

The graph shows x < 4 (open circle at 4 with arrow left).

Solve each:
- 3.7x > 14.8 → x > 4
- 2.8x < 10.5 → x < 3.75
- 2.1x < 8.4 → x < 4
- 4.9x > 19.6 → x > 4

So the correct inequality is 2.1x < 8.4.