Select the inequality that matches the situation:

To solve this problem, we need to represent the number of pages read by both Kristen and Alex over time.

1. Define the variables: Let's use \(x\) to represent the number of hours they read.

2. Kristen's situation:

   • She starts on page 19 and reads at a rate of 20 pages per hour. After \(x\) hours, the total number of pages she has read is: \[ 19 + 20x \]

3. Alex's situation:

   • He starts on page 27 and reads at a rate of 15 pages per hour. After \(x\) hours, the total number of pages he has read is: \[ 27 + 15x \]

4. Set up the inequality: We want to find out when Kristen has read at least as many pages as Alex. This can be represented as: \[ 19 + 20x \geq 27 + 15x \]

Rearranging this gives:

• Subtract \(15x\) from both sides: \[ 19 + 20x - 15x \geq 27 \]
• Simplifying: \[ 19 + 5x \geq 27 \]

5. Therefore, the correct inequality representing when Kristen will have read at least the same number of pages as Alex is: \[ 19 + 20x \geq 27 + 15x \]

From the choices given, the matching inequality is: \[ \boxed{19 + 20x \geq 27 + 15x} \]