Which of the following expressions correctly determines that x is greater than 5 and less than 10?

To determine if the variable x is greater than 5 and also less than 10, we can use the logical AND operator. In programming and mathematical expressions, we can express this condition as follows:

• x > 5 && x < 10
• 5 < x < 10 (this is not valid in many programming languages, but it holds true in mathematical notation)

The correct expression in most programming languages like JavaScript, Python, or Java is:

x > 5 && x < 10

This expression states that x must simultaneously satisfy both conditions:

1. x > 5 means x is greater than 5.
2. x < 10 means x is less than 10.

When both conditions are true at the same time, we say that x is in the range (5, 10).