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 on the number line. It uses parentheses and brackets to indicate whether endpoints are included (closed interval) or excluded (open interval). For example, the interval (2, 5] includes all numbers greater than 2 and up to 5, including 5 but not 2.
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Inequalities
Inequalities express the relationship between two expressions that are not necessarily equal. In this context, the inequality y1 ≤ y2 means that the value of y1 must be less than or equal to the value of y2 for the corresponding values of x. Understanding how to manipulate and solve inequalities is crucial for finding the solution set.
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Linear Functions
Linear functions are mathematical functions that create a straight line when graphed. They can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. In this problem, both y1 and y2 are linear functions of x, and analyzing their intersection points is essential for determining the values of x that satisfy the given inequality.
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