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
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
4.9 x greater than 19.6
3.7x>14.8
The correct answer is 2.1x<8.4.
Based on the given information, an open point is plotted at 4 on the number line. An arrow to the left of this point indicates that the solution to the inequality is greater than the plotted point, so x is less than 4.8. The only option that matches this condition is 2.1x<8.4.