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Lesson 3-6 Compound Inequalities August 22, 2014 Before Beginning Something New • IMPORTANT REMINDER!!!!!! • Whatever side the variable starts on in your inequality is the same side the variable MUST be on in your answer unless you also switch the inequality symbol. Example 9 + 4t > 21 • The variable is on the left side. • So my answer will also show the variable on the left side. t > 3 • I can switch the variable to the other side, but I also MUST switch the variable. 3<t Put It to Use • Hopefully you understand inequalities better now. Let’s put it to practice. • Take about 5 minutes to work some problems from the “Reteaching” worksheet for 3-4. • We will then take our Unit 1 Quiz A before beginning something new. Daily Learning Target • I will solve and graph inequalities containing the word and. • I will solve and graph inequalities containing the word or. Example 1 – Writing a Compound Inequality A) All real numbers that are greater than -2 and less than 6 n > -2 and n < 6 -2 < n and n < 6 -2 < n < 6 B) All real number that are less than 0 or greater than or equal to 5 t < 0 or t ≥ 5 Example 2 – Solving a Compound Inequality with AND -3 ≤ 6 −𝑞 9 ≤3 Answer: -21 ≤ q ≤ 33 Example 3 – Solving a Compound Inequality with OR 3t + 2 < -7 or -4t + 5 < 1 Answer: t < -3 OR t > 1 YOUR TURN 1) All real numbers that are between 5 and 7 2) 3 < 4p – 5 ≤ 15 3) 15 ≤ 20+11+𝑘 3 ≤ 19 4) 4d + 5 ≥ 13 or 7d – 2 < 12 5) 5y + 7 ≤ -3 or 3y – 2 ≥ 13 Homework Page 99 Problems 1, 2, 4, 5, 6, 8