Solve the inequality 9.5x−1.25<32 witch gragh 1 2 3 or 4 let me know plz thank you

Question

. Which of the following graphs shows the solution?(1 point)
Responses

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.
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.

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. 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.

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.
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. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.

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.

Answer 1

To solve the inequality \(9.5x - 1.25 < 32\), we will first isolate \(x\).

1. Add \(1.25\) to both sides: \[ 9.5x < 32 + 1.25 \] \[ 9.5x < 33.25 \]

2. Divide both sides by \(9.5\): \[ x < \frac{33.25}{9.5} \]

3. Calculate the division: \[ \frac{33.25}{9.5} = 3.5 \]

Thus, the solution to the inequality is: \[ x < 3.5 \]

On a number line, this means we would have an open point at \(3.5\) (since \(x\) does not include \(3.5\)) and an arrow extending to the left towards negative infinity (indicating all numbers less than \(3.5\)).

Among the graph options you provided, the correct graph would have an open point at \(3.5\) with a leftward arrow extending beyond negative 10, representing \(x < 3.5\).

So the correct response is the one with an open point plotted between \(3\) and \(4\), just at \(3.5\) with a leftward arrow.