Here are the essential concepts you must grasp in order to answer the question correctly.
Linear Equations
A linear equation is an algebraic expression that represents a straight line when graphed. It typically takes the form y = mx + b, where m is the slope and b is the y-intercept. Understanding how to manipulate and solve linear equations is essential for determining the values of x that satisfy given conditions.
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Categorizing Linear Equations
Inequalities
Inequalities express a relationship where one side is not necessarily equal to the other, using symbols like <, >, ≤, or ≥. In this context, the condition 'y is at most 0' translates to an inequality that must be solved to find the range of x values. Mastery of inequalities is crucial for interpreting and solving problems involving constraints.
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Interval Notation
Interval notation is a mathematical notation used to represent a range of values on the number line. It uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints. Understanding how to express solutions in interval notation is important for clearly communicating the set of x values that satisfy the given conditions.
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