Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value Inequalities
Absolute value inequalities involve expressions that measure the distance of a number from zero on the number line. The inequality |A| ≤ B means that A lies within the interval [-B, B]. Understanding how to interpret and solve these inequalities is crucial for finding the solution set.
Recommended video:
Solving Linear Inequalities
Solving linear inequalities involves isolating the variable on one side of the inequality sign. This process is similar to solving linear equations but requires special attention to the direction of the inequality sign, especially when multiplying or dividing by negative numbers. Mastery of this concept is essential for accurately determining the solution set.
Recommended video:
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 interval) or excluded (open interval). Understanding how to express solution sets in interval notation is important for clearly communicating the results of inequality solutions.
Recommended video: