Here are the essential concepts you must grasp in order to answer the question correctly.
Polynomial Inequalities
Polynomial inequalities involve expressions where a polynomial is compared to a value, typically zero, using inequality symbols such as '>', '<', '≥', or '≤'. To solve these inequalities, one must determine the intervals where the polynomial is positive or negative, which often requires finding the roots of the polynomial and testing intervals between these roots.
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Graphing on a Number Line
Graphing the solution set of a polynomial inequality on a number line involves marking the intervals where the inequality holds true. This visual representation helps in understanding the solution's range and is essential for interpreting the results in context, such as identifying where the polynomial is greater than zero.
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Graphing Lines in Slope-Intercept Form
Interval Notation
Interval notation is a mathematical notation used to represent a range of values. It uses parentheses and brackets to indicate whether endpoints are included (closed intervals) or excluded (open intervals). For example, the interval (a, b) includes all numbers between a and b but not a and b themselves, while [a, b] includes both endpoints.
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