Final Answer:
The correct interval notation for the set of numbers is c) [-8, 1).
Therefore, correct option is c) [-8, 1).
Step-by-step explanation:
In interval notation, square brackets \([ ]\) indicate that the endpoint is included, while parentheses \(( )\) indicate that the endpoint is excluded.
Let's break down each option:
a) (-8, 0): The parentheses around -8 indicate that -8 is not included, and the parentheses around 0 mean that 0 is also not included.
b) [-8, 1]: The square bracket around -8 includes -8 in the interval, and the square bracket around 1 includes 1 in the interval. This does not match the given set of numbers.
c) [-8, 1): The square bracket around -8 includes -8, and the parentheses around 1 exclude 1 from the interval, aligning with the given set of numbers.
d) -8: This is not in interval notation; it's a single number.
The correct choice is c) [-8, 1), as it includes the specified value -8 and ranges up to, but does not include, 1.
Therefore, option c) [-8, 1) accurately represents the given set of numbers.
Interval notation is a concise way to represent sets of real numbers, commonly used in mathematics to describe ranges or intervals on the number line. It is essential for expressing solutions to inequalities and providing a clear representation of the extent of a set of numbers.
Therefore, correct option is c) [-8, 1).