Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Inequalities
2:03 minutes
Problem 109
Textbook Question
Textbook QuestionIn Exercises 107–110, use graphs to find each set. [1,3) ∩ (0,4)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Interval Notation
Interval notation is a mathematical notation used to represent a range of values. It uses brackets and parentheses to indicate whether endpoints are included or excluded. For example, [1, 3) means that 1 is included in the interval, while 3 is not, indicating all numbers from 1 up to but not including 3.
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Interval Notation
Set Intersection
Set intersection refers to the operation of finding common elements between two or more sets. The intersection of sets A and B, denoted as A ∩ B, includes only those elements that are present in both sets. In the context of intervals, this means identifying the overlapping range of values that satisfy both conditions.
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07:52
Parallel & Perpendicular Lines
Graphing Intervals
Graphing intervals involves visually representing the range of values on a number line. Each interval is depicted with a line segment, where closed intervals are marked with solid dots and open intervals with open dots. This visual representation helps in easily identifying overlaps and intersections between different intervals.
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