Final answer:
The interval (-8, -7] expressed as an inequality is -8 < x ≤ -7, which includes all numbers greater than -8 up to and including -7.
Step-by-step explanation:
To express the interval (-8, -7] as an inequality, we need to write an inequality that represents all the numbers between -8 and -7, including -7 but not including -8. This means that x can be greater than -8 and at most -7. Therefore, the correct inequality expression for the interval (-8, -7] is:
-8 < x ≤ -7
The open parenthesis '(' signifies that -8 is not included in the interval (hence, '<' is used), and the closed bracket ']' means that -7 is included in the interval (hence, '≤' is used).