(-∞,1)U(3,∞)
The expression (-∞,1)U(3,∞) represents the union of two intervals: (-∞,1) and (3,∞)
The expression (-∞,1)U(3,∞) represents the union of two intervals: (-∞,1) and (3,∞). Let’s break it down to understand what this means.
The first interval, (-∞,1), includes all real numbers that are less than or equal to 1. The symbol -∞ represents negative infinity, which means there is no lower bound to this interval. On the other hand, the number 1 represents the upper bound, meaning any real number smaller than or equal to 1 is included.
The second interval, (3,∞), includes all real numbers that are greater than 3. The number 3 is not included in this interval since there is no equal sign. The symbol ∞ represents positive infinity, indicating that there is no upper bound to this interval.
When we take the union of these two intervals, we combine all the real numbers that belong to either (-∞,1) or (3,∞), or both. In other words, the final interval (-∞,1)U(3,∞) includes all real numbers less than or equal to 1, as well as all real numbers greater than 3.
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