Final answer:
To generate a random integer between -10 and 10, you can use a random number function to get a number from 0 to 20 and then subtract 10. This will adjust the range to the desired -10 to 10 interval.
Step-by-step explanation:
To write an expression that will generate a random integer between -10 and 10, you could use a function from a programming language or a mathematical tool that provides random number generation. For example, in many programming environments, there is a function called rand() or random() that can be utilized to generate random numbers. However, since these functions usually generate numbers starting from 0, you need to manipulate the output to fit within the desired range.
Here's how you can translate this into an expression: first, generate a random integer in the range of 0 to 20 (which is the length of the interval from -10 to 10) and then subtract 10 from the result to shift the range from 0-20 to -10 to 10. In pseudo-code, it could look like this:
random_integer = rand(0, 20) - 10;
This simple expression rand(0, 20) - 10 will thus yield a random integer between -10 and 10, inclusive.