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

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.

the choices are

2.8x < 10.5
3.7x >14.8
2.1x < 8.4
4.9x > 19.6

Based on the information given, we can see that the open point is plotted at 4 and the leftward arrow goes beyond negative 10. This indicates that the inequality is less than.

Out of the given options, the only one that is a less than inequality is 2.1x < 8.4. Therefore, Paolo solved the inequality 2.1x < 8.4.

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

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 1 and 2. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 10.

the choices are

5.6x - 18.9 ≤ 0.7
2.1x + 5.6 ≥ 8.75
0.9x + 2.8 ≤ 5.95
3.4x - 1.2 ≥ 4.75

Based on the information given, we can see that the closed point is plotted between 1 and 2 and the rightward arrow goes beyond 10. This indicates that the inequality is greater than.

Out of the given options, the only one that is a greater than inequality is 3.4x - 1.2 ≥ 4.75. Therefore, Preston solved the inequality 3.4x - 1.2 ≥ 4.75.