(-∞, -2)U(0,2)
The expression (-∞, -2) U (0, 2) represents a union of two intervals, (-∞, -2) and (0, 2)
The expression (-∞, -2) U (0, 2) represents a union of two intervals, (-∞, -2) and (0, 2).
The interval (-∞, -2) represents all real numbers that are less than -2, including negative infinite values but not including -2. This interval can be represented graphically as an open interval extending towards negative infinity on the left end.
The interval (0, 2) represents all real numbers between 0 and 2, excluding both 0 and 2. This interval can be represented graphically as an open interval between 0 and 2.
Therefore, the union of these two intervals (-∞, -2) U (0, 2) represents all real numbers that are less than -2 or between 0 and 2, excluding -2, 0, and 2. Graphically, it can be represented as an open interval extending from negative infinity to -2, then jumping over to 0 and continuing to 2.
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