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77 Topic 15: Solving linear inequalities SOLVING LINEAR INEQUALITIES Lesson 15.1 Inequalities on the number line 15.1 OPENER Consider the inequality x 7. 1. List five numbers that make the inequality
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How to fill out solving linear inequalities:

01
First, identify the inequality. This could be in the form of "less than," "greater than," or "less than or equal to/ greater than or equal to."
02
Next, isolate the variable on one side of the inequality. Use addition, subtraction, multiplication, or division to achieve this.
03
Be sure to perform the same operation on both sides of the inequality to maintain equality. This ensures that the solution will be accurate.
04
Simplify both sides of the inequality if necessary. Combine like terms and perform any necessary calculations.
05
Determine the range of values that satisfy the inequality. This can be done by either using a number line or by expressing the solution as an interval or set notation.
06
Double-check your solution by substituting the value into the original inequality. This will confirm if the inequality holds true.

Who needs solving linear inequalities:

01
Students studying algebra or mathematics may need to solve linear inequalities as part of their coursework.
02
Engineers and scientists often encounter linear inequalities when solving real-world problems or conducting mathematical modeling.
03
Economists and financial analysts may rely on solving linear inequalities to study supply and demand dynamics or assess pricing strategies.
04
Architects and designers may use linear inequalities to optimize space utilization or allocate resources efficiently.
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Anyone interested in problem-solving, critical thinking, and logical reasoning can benefit from solving linear inequalities as it enhances these skills.
In summary, solving linear inequalities is a valuable skill that is applicable in various fields and is essential for problem-solving and decision-making in both academic and practical settings.
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Solving linear inequalities involves finding the set of values for a variable that satisfy the given inequality.
Individuals or organizations who need to solve problems involving linear inequalities are required to file solving linear inequalities.
To fill out solving linear inequalities, one must follow the steps of isolating the variable, determining the inequality sign, and finding the solution set.
The purpose of solving linear inequalities is to determine the range of values for a variable that satisfy a given set of conditions.
The information reported on solving linear inequalities includes the variable, the inequality sign, and the solution set.
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