Final answer:
The correct interval notation for x ≥ 8 is (8, [infinity]]. The correct answer is b. (8, [infinity]].
Step-by-step explanation:
The correct answer is option b: (8, [infinity]].
In interval notation, the symbol ( represents an open interval, while the symbol [ represents a closed interval. The inequality x ≥ 8 means that x is greater than or equal to 8.
Since the inequality is not strict, the interval should not include 8 itself, so it is represented as (8. In addition, since x can be any value greater than or equal to 8, the interval continues indefinitely to positive infinity, represented by [infinity]. Therefore, the correct interval notation for x ≥ 8 is (8, [infinity]].
Interval notation is used to describe a range of numbers on the number line. In this case, we are looking to express the inequality x ≥ 8. This means the range includes 8 and all numbers greater than 8.
The correct interval notation for this would be [8, ∞), where the square bracket indicates that 8 is included in the interval (it is 'closed' at 8), and the parenthesis indicates that infinity is not a number that can be reached or included (the interval is 'open' at infinity).