Question

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

(1 point)
5.6x−18.9≤0.7
2.1x+5.6≥8.75
0.9x+2.8≤5.95
3.4x−1.2≥4.75

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which inequality Preston solved, we need to interpret the solution he graphed on the number line.

If the solution on the number line is represented by a closed circle, it means that the corresponding endpoint is included in the solution. This indicates that the inequality includes an equation.

If the solution is represented by an open circle, it means that the corresponding endpoint is not included in the solution. This indicates that the inequality does not include an equation.

Looking at the given options:

1) 5.6x - 18.9 ≤ 0.7: The solution is represented by a closed circle, so an equation is included. However, the endpoint does not appear on the number line.

2) 2.1x + 5.6 ≥ 8.75: The solution is represented by an open circle, so there is no equation included. However, the endpoint does not appear on the number line.

3) 0.9x + 2.8 ≤ 5.95: The solution is represented by a closed circle, so an equation is included. The endpoint does appear on the number line.

4) 3.4x - 1.2 ≥ 4.75: The solution is represented by an open circle, so there is no equation included. The endpoint does appear on the number line.

Therefore, Preston solved the inequality 0.9x + 2.8 ≤ 5.95.