To determine if a variable x is greater than 5 and less than 10, you can use a logical expression that combines two conditions. The correct expression is:
5 < x < 10
This expression reads as “5 is less than x and x is less than 10,” which confirms that x falls within the range of >5 and <10.
To break it down further, this expression can also be written using logical operators:
(x > 5) && (x < 10)
In this format, we are using:
- “x > 5” – This checks if x is greater than 5.
- “x < 10” – This checks if x is less than 10.
The operator “&&” denotes a logical AND, meaning both conditions must be true for the overall expression to evaluate as true.
In summary, whether you choose to write 5 < x < 10 or (x > 5) && (x < 10), both expressions effectively communicate the same requirement: x must be between 5 and 10, exclusively.