(-8,-2)U(0,2)U(5,∞)
In mathematics, when two intervals or sets are given, the symbol “U” denotes the union of those intervals or sets
In mathematics, when two intervals or sets are given, the symbol “U” denotes the union of those intervals or sets. So, given the intervals (-8, -2), (0, 2), and (5, ∞), we need to find their union.
To find the union, we need to combine all the intervals without overlapping or duplicating any numbers. Let’s break it down step by step:
1. (-8, -2):
This interval includes all the numbers between -8 and -2, excluding both endpoints. So, we have: -7, -6, -5, -4, -3.
2. (0, 2):
This interval includes all the numbers between 0 and 2, excluding both endpoints. So, we have: 1.
3. (5, ∞):
This interval includes all numbers greater than 5. It extends towards infinity. So, we have: 6, 7, 8, 9, …
Now, let’s combine all the numbers we obtained from each interval:
-7, -6, -5, -4, -3, 1, 6, 7, 8, 9, …
This is the set that represents the union of all the given intervals: (-8, -2) U (0, 2) U (5, ∞).
More Answers:
Understanding and Explaining Mathematical Expressions: Open Intervals and Union of Intervals for Real NumbersUnderstanding the Union of Intervals: (-∞,1)U(3,∞)
Understanding Coordinates: The Location and Visualization of the Point (2,4) in a Two-Dimensional Plane