Final answer:
The set of all numbers less than or equal to -8 or greater than or equal to 2 is expressed as the union of two intervals, (-∞, -8] ∪ [2, ∞), including -8 and 2 in the set.
Step-by-step explanation:
The set of all numbers less than or equal to -8 or greater than or equal to 2 is a union of two intervals on the number line. This set can be expressed in interval notation as (-∞, -8] ∪ [2, ∞), where (-∞, -8] represents all numbers less than or equal to -8, and [2, ∞) represents all numbers greater than or equal to 2.
It's important to include the square brackets [ ] to indicate that -8 and 2 are included in the set and round brackets ( ) to represent the concept of going till infinity, which is not an actual number but represents a boundless limit.
The complete question is: What is the set of all numbers less than or equal to -8 or greater than or equal to 2? is: