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NAME DATE PER. MAKING CONNECTIONS: INEQUALITIES One Variable Inequalities.
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To fill out making connections inequalities, follow these steps:

01
Identify the given values or variables: Determine the constants or variables that are associated with the problem. This could include numbers, expressions, or unknowns.
02
Determine the type of inequality: Decide if the inequality is a less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥) inequality. This will determine the direction of the solution set on the number line.
03
Solve the inequality: Use algebraic techniques to isolate the variable on one side of the inequality. This may involve simplifying expressions, combining like terms, or applying inverse operations.
04
Represent the solution graphically: Plot the solution set on a number line according to the direction of the inequality. Use an open circle for strict inequalities (< or >) and a closed circle for inclusive inequalities (≤ or ≥). Shade the region that represents the solution set.
05
Express the solution set in interval notation: Convert the graphical representation into interval notation. This involves identifying the smallest and largest values that satisfy the inequality and writing them in a concise format.
Anyone who encounters mathematical problems or real-life situations that involve comparisons, constraints, or limitations can benefit from understanding and applying making connections inequalities. This concept is often utilized in fields such as economics, engineering, finance, and sciences, as well as in everyday decision-making processes. Whether it's analyzing profit margins, determining optimal levels of production, or evaluating resource allocation, making connections inequalities provide a framework for making informed judgments and decisions.
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