Here are the essential concepts you must grasp in order to answer the question correctly.
Intervals
An interval is a set of real numbers that fall between two endpoints. Intervals can be open, closed, or half-open. For example, the interval (-3, 0) is open, meaning it includes all numbers greater than -3 and less than 0, but not -3 and 0 themselves. The interval [-1, 2] is closed, including both endpoints -1 and 2.
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Intersection of Sets
The intersection of two sets is the set of elements that are common to both sets. In this case, we are looking for the numbers that are present in both the interval (-3, 0) and the interval [-1, 2]. The intersection is found by identifying the overlapping values between the two intervals.
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Parallel & Perpendicular Lines
Graphing Intervals
Graphing intervals involves representing the sets of numbers visually on a number line. Open intervals are shown with parentheses, while closed intervals are represented with brackets. This visual representation helps in easily identifying overlaps and intersections between different sets, making it easier to determine the solution to the problem.
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