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 zero using inequality signs (e.g., <, >, ≤, ≥). To solve these inequalities, one typically finds the roots of the polynomial, determines the intervals on the number line, and tests these intervals to see where the inequality holds true.
Recommended video:
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 intervals) or excluded (open intervals). For example, (a, b) represents all numbers between a and b, not including a and b, while [a, b] includes both endpoints.
Recommended video:
Graphing Solution Sets
Graphing solution sets on a real number line visually represents the solutions to an inequality. Each interval where the inequality is satisfied is marked, using open or closed circles to indicate whether endpoints are included. This graphical representation helps in understanding the range of values that satisfy the inequality.
Recommended video:
Graphing Polynomial Functions