You are right, I apologize for the confusion. My previous response was incorrect.
Let's recheck the options and solve the inequality again.
The inequality is 9.5x - 1.25 < 32.
To solve it, we can start by isolating the variable x. Adding 1.25 to both sides of the inequality, we get:
9.5x < 33.25.
Next, divide both sides of the inequality by 9.5:
x < 33.25/9.5.
Simplifying, we have:
x < 3.5.
Now let's consider the given options:
A. 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. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.
B. 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.
C. 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.
D. 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.
Based on our solution x < 3.5, the correct graph that shows the solution is option A.
In option A, an open point is plotted on the number line between 3 and 4, and a leftward arrow originates at the open point and goes beyond negative 10. This represents all the values of x that satisfy the inequality.