(-∞,-3)U(-1,2)U(4,∞)
To understand the given mathematical expression, let’s break it down step by step:
The expression (-∞, -3) represents all real numbers from negative infinity up to, but not including, -3
To understand the given mathematical expression, let’s break it down step by step:
The expression (-∞, -3) represents all real numbers from negative infinity up to, but not including, -3. This is an open interval.
The expression (-1, 2) represents all real numbers between -1 and 2, but not including either of them. This is also an open interval.
The expression (4, ∞) represents all real numbers from 4 up to positive infinity, but not including 4. This is another open interval.
The symbol U represents the union of intervals, which means combining all the intervals mentioned above into a single set.
Putting it all together, the expression (-∞, -3) U (-1, 2) U (4, ∞) represents the set of all real numbers that are less than -3, between -1 and 2, and greater than 4. In other words, it includes all real numbers except for the values -3, -1, 2, and 4.
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