To solve the inequality 9.5x - 1.25 < 32, we need to isolate the variable x.
First, add 1.25 to both sides:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Next, divide both sides by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
So the solution to the inequality is x < 3.5.
Looking at the graphs, it seems like the first graph shows the solution. The open point on the number line between 3 and 4 indicates that x is less than 4, which corresponds to the inequality x < 3.5. The leftward arrow going beyond negative 10 shows that x can take any value less than 3.5.
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. 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. 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. Skip to navigation
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