Express the setW={x∣x>2} using interval notation.
This set is numbers strictly greater than 2.
Because this relation is strict (> instead of >=), the left interval is a parens. There is no upper bound, so the right interval is infinity.
(2, +INF)
To express the set W = {x | x > 2} using interval notation, we need to find the interval that represents all the numbers greater than 2.
In interval notation, we use square brackets [ ] for inclusive boundaries (including the number) and parentheses ( ) for exclusive boundaries (excluding the number).
Since the set W consists of all numbers greater than 2, we can express it as an open interval with 2 as the lower bound:
W = (2, ∞)
Here, the parentheses indicate that 2 is excluded from the set, and the infinity symbol (∞) indicates that the set extends indefinitely to the right.