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 using inequality symbols (e.g., <, >, ≤, ≥). To solve these inequalities, one typically rearranges the expression to one side, setting it to zero, and then determines the intervals where the polynomial is either positive or negative.
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Interval Notation
Interval notation is a mathematical notation used to represent a range of values on the real number line. It uses parentheses and brackets to indicate whether endpoints are included (closed interval) or excluded (open interval). For example, (a, b) represents all numbers between a and b, not including a and b, while [a, b] includes both endpoints.
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Graphing Solution Sets
Graphing solution sets on a real number line visually represents the solutions to an inequality. Each interval derived from the inequality is marked on the line, using open or closed circles to indicate whether the endpoints are included. This graphical representation helps in understanding the range of values that satisfy the inequality.
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Graphing Polynomial Functions