Question

Solve the inequality 9.5x−1.25<32 . Which of the following graphs shows the solution?(1 point) Responses Image with alt text: 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 4 and 5, just before 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. Image with alt text: A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line between 3 and 4, just after the 3. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10. Image with alt text: 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 3 and 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The inequality is 9.5x - 1.25 < 32.

To solve it, we can start by adding 1.25 to both sides:

9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25

Then, we can divide both sides by 9.5:

9.5x/9.5 < 33.25/9.5
x < 3.5

The solution to the inequality is x < 3.5.

Therefore, the graph that shows the solution is the one where there is an open point plotted on the number line between 3 and 4, just after the 3, and a leftward arrow marked on the number line that originates at the open point and goes beyond negative 10.

The correct graph is the second image.