Solve the inequality 9.5x−1.25<32

Question

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

Answer 1

To solve the inequality \(9.5x - 1.25 < 32\), we can follow these steps:

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 \(\frac{33.25}{9.5}\): \[ \frac{33.25}{9.5} \approx 3.5 \]

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

In terms of interval notation, this is written as: \[ (-\infty, 3.5) \]

To represent this graphically:

• You would have a number line.
• You would mark an open circle at 3.5 (indicating that 3.5 itself is not included in the solution).
• You would shade the line to the left of 3.5 to show that all numbers less than 3.5 are included in the solution.

If you have multiple graph options, look for the one that matches this description.