(-∞,-3)U(-1,2)U(4,∞)
The given expression represents a set of real numbers
The given expression represents a set of real numbers.
Let’s break down the expression into three intervals to understand its meaning:
Interval 1: (-∞, -3)
This interval represents all real numbers that are less than -3. The symbol “∞” is used to denote negative infinity, which means there is no limit to how small the numbers in this interval can be. The parentheses “(” are used to indicate that -3 is not included in the set. Therefore, in interval 1, all numbers less than -3 are included (e.g., -4, -5, -6, etc.).
Interval 2: (-1, 2)
This interval represents all real numbers that are between -1 and 2. The parentheses are used to indicate that -1 and 2 are not included in the set. Therefore, in interval 2, all numbers between -1 and 2, excluding -1 and 2 themselves, are included (e.g., 0, 1, 1.5, etc.).
Interval 3: (4, ∞)
This interval represents all real numbers that are greater than 4. The symbol “∞” is used to denote positive infinity, which means there is no limit to how large the numbers in this interval can be. The parentheses are used to indicate that 4 is not included in the set. Therefore, in interval 3, all numbers greater than 4 are included (e.g., 5, 6, 7, etc.).
Combining all three intervals, we have the set of real numbers that are less than -3, between -1 and 2 (excluding -1 and 2 themselves), and greater than 4.
More Answers:
Master the Chain Rule: Derivative of Arctan(x) Revealed!Finding the Derivative of the Inverse Secant Function: Step-by-Step Guide with Formula
Understanding the Union of Intervals: (-∞, -2) U (0, 2) Explained