(-∞,1)U(3,∞)
The expression (-∞,1)U(3,∞) represents a union of two intervals: (-∞,1) and (3,∞)
The expression (-∞,1)U(3,∞) represents a union of two intervals: (-∞,1) and (3,∞). Let’s break down each interval individually.
Interval (-∞,1):
This interval starts from negative infinity and ends at 1, but does not include 1. In other words, any number less than 1 is included in this interval. Graphically, this interval includes all values to the left of 1 on a number line.
Interval (3,∞):
This interval starts from 3 and continues indefinitely towards positive infinity. However, it does not include 3. So, any number greater than 3 is included in this interval. Graphically, this interval includes all values to the right of 3 on a number line.
When we take the union of these two intervals, we combine all the numbers from both intervals. Therefore, the resulting interval (-∞,1)U(3,∞) includes all numbers less than 1, as well as all numbers greater than 3. Graphically, this means that it includes all values to the left of 1 and all values to the right of 3 on a number line. The interval does not include 1 or 3.
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