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Common Core Algebra Unit 5: Inequalities 11/9/16Lesson 3: Compound Inequalities Objective: SWBAT solve an inequality in one variable.Do Now: Determine the solution set to the inequalities below.6x-5<7x+4x2+3(x-1)≥x2+5Turn and Talk...To promote a new teen movie, the local movie theater is offering a discounted ticket rate for anyone who is under 7 years old or over 50 years old. Using x to represent the age of a discounted movie goer, determine the solution set to the scenario described.Group Task:Consider each of the following compound (meaning more than one) inequality statements.Determine the truth value of both inequalities and then determine the overall truth value (or at least what you think it is). A compound inequality is made up of two simple statements connected by the word ______ or ______.*For a compound statement connected by the word or to be true, at least one simple statement must be true.*For a compound statement connected by the word and to be true, both simple statements must be true.Check for Understanding:Which of the following compound inequalities is false? Explain your reasoning by showing the truth-values of each of the individual inequalities.Model Example:Determine if x ? 5 part of the solution set of:Group Task:Determine if each of the following values of x is in the solution set to the compound inequalities given below?Check for Understanding:Lesson Summary: A solution to a compound inequality separated by the word “OR” is a solution if it satisfies _________________________. The solution can also satisfy ______________________________________Problem Set:1. Determine the truth-value of each of the following compound inequalities by first determining the truth value of each of the individual inequalities.2. Which of the following compound inequalities is true? Explain your reasoning by showing the truth-valuesof each of the individual inequalities.3. Determine if each of the following values of x is in the solution set to the compound inequalities given below? Justify each of your choices by showing your calculations.4. Graph the solution set to the following compound inequalities.5. Write a compound inequality for the solution set shown below. Describe the solution set using interval notation.6. For each compound inequality, represent the solution set using a graph and interval notation. Use a straight edge to make your graphs.8. Write a compound inequality to represent the scenario. You’ll need to bring at least $15 to the movies but you won’t need more than $25. Let m represent the money brought to the movies9. In order to participate in the big buddy/little buddy bowling league, you must be over 18 years of age or under 10 years of age. Let p represent the age of a participant. 10. Unsafe body temperatures are those lower than 96 F or above 104 F. Let t represent an unsafe body temperature.11. A survey showed that 92% of students always do their homework. If the margin of error of the data is plus or minus 3.5%, write a compound inequality that represents the percentage of students, x, who always do their HW. ................
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