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Graph paper maker time units1/31/2024 ![]() SummaryĪdding inequalities to your algebraic repertoire allows you to calculate when one quantity is more or less than another.ġ. Whatever operations we do on one part we must do to all three parts. The solution should contain x in the middle. Solve and graph the solution on the number line.Įxplanation: This problem has two inequalities. Study Tip: The rule explaining the difference between solving equality equations and inequality equations should be written down on a note card and memorized along with an example demonstrating the rule.Įxample 5. Since we divide both sides by a negative, we change the direction of the inequality. Solve and graph the solution on the number line.ĭivided both sides by -3. Multiplying by a negative reverses the order of the numbers.Įxample 4. Using ≥ makes the problem more realistic in terms of the grade Selena wants for the course.įor example, x > 3 represents all the numbers larger than 3, but not 3.Ģ. The only difference between the two problems is using the signs = and ≥. Selena has to get a 95.67 or higher on the final to get a 95 or higher for the course. So instead of setting Selena's grade = to 95, we set Selena's grade ≥ 95. Let E be the variable that represents what Selena has to get on the final exam to get a 95 or higher for the course.Įxplanation: We use the symbol ≥ to mean greater than or equal to. What does Selena have to get on the final exam to get a 95 or higher for the course? So she would be happy with a grade of 95 or higher. What Selena really wants for the course is an A*. Let E be the variable that represents what Selena has to get on the final exam to get a 90 for the course.īecause Selena studied all semester, she only has to get a 79 on the final to get a 90 for the course. What does Selena have to get on the final exam to get a 90 for the course? Suppose Selena has an 89 homework average and a 97 test average. ![]() Pi, computes a student's grade for the course as follows: The following example comes from Section 1.7 "Percentages," page 78.Įxample 1. Also, you will identify quantities as being greater than, less than, or equal to each other. In this section, you will solve algebraic inequality problems and represent the answers on a number line. Chapter 2 - GRAPHING INEQUALITIES Objectives
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