Here are the essential concepts you must grasp in order to answer the question correctly.
Inequalities
Inequalities are mathematical expressions that show the relationship between two values when they are not equal. They use symbols such as '>', '<', '≥', and '≤' to indicate whether one side is greater than, less than, or equal to the other. Understanding how to manipulate and interpret inequalities is essential for solving and graphing them.
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Graphing Linear Inequalities
Graphing linear inequalities involves representing the solutions of an inequality on a coordinate plane. The boundary line is drawn based on the corresponding equation, and it is dashed if the inequality is strict ('>' or '<') to indicate that points on the line are not included. The region that satisfies the inequality is then shaded, showing all possible solutions.
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Slope-Intercept Form
The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope and b the y-intercept. This form is useful for graphing because it allows you to easily identify how steep the line is and where it crosses the y-axis. Converting the given inequality into this form can simplify the graphing process.
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