Class Notes NOTES. Topic: Lesson 18: Solving Compound. Aim: or.

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1 Level 1 & 2 identify, recall, recognize, use, measure, describe explain, classify, organize, estimate, make observations, collect and display data, compare data Level 3 & 4: conclude, justify, estimate, predict, speculate, generalize, interpret, if/then, evaluate, judge, apply a principle, Inequalities speculate, imagine, hypothesize, create, construct Name: Period: Number: Date CC Algebra Module 1 Ms. Socci Topic: Lesson 18: Solving Compound Aim: Class Notes NOTES Write, in words, what each inequality says. Start with the variable first in your Then, write 3 values for x that are solutions for each inequality. sentence. a. x > 5 b. x < -2 c. 3 > x d. -1 < x Compound Inequality: Two or more inequalities that are connected by the words or. Intersection of Inequalities: A compound inequality that contains the word. **This type of compound inequality is true if both inequalities are true. Ex: x > 6 and x < 9 can be combined together and written as Ex: The ages of the students in this class are greater than 12 but less than 16.

2 Union of Inequalities: A compound inequality that contains the word. **This type of compound inequality is true if at least one of the inequalities is true. Ex: x > 2 or x < -1 cannot be combined together into one inequality. Ex: The low/high temperature each day in November was either less than 40 degrees or greater than 65 degrees. Examples: Rewrite each compound inequality as two separate inequalities. Then graph on the number line provided. Write 3 solutions for each inequality. a. -6 < x < 1 b. 0 < x < 4 Graph each compound inequality. Write 3 solutions for each inequality. c. x < 1 or x > 5 d. x < -2 or x > 3

3 Solve each compound inequality. Then graph. Write 3 solutions for each inequality. e. -2 < x + 5 < 4 f. x 4 < -6 or -3x < -12 Solve each compound inequality. Then graph. Write 3 solutions for each inequality. g. 6 < 2(x 1) < 10 h. 3x + 2 < -10 or -x 1 < 1

4 Summary

5 ASSIGNMENT: Level C Rewrite each compound inequality as two separate inequalities. Then graph. Write 3 solutions for each < x < < x < < x < 6 Graph each compound inequality. Write 3 solutions for each. 4. x < -1 or x > 5 5. x < 0 or x > 6 6. x > -1 or x < -5 Level B Solve each inequality. Then, rewrite each inequality as two separate inequalities and graph < x + 3 < x 4 < 1 9. x + 1 < 3 or -2x < -10

6 10. 3 < 2x + 1 < x 4 < 5 or 2x 6 > 6 Level A < 3 2x < 11 Write an inequality which describes each graph Write a compound inequality that represents each problem. Then solve each problem and write 3 possible solutions for each. 17. Most snakes must live in places where temperatures range between 75 to 90 degrees. 18. The cost of cell phones are either less than $60 or more than $110.

7 Name CC Algebra Date Ms. Socci Lesson 18-Solving Compound Inequalities Exit Ticket Level C Level B Level A 2C. Graph the compound inequality. x 4 or x 1 2B. Solve the compound inequality and graph. -1 < x + 4 < 6 2A. Use the compound inequality to answer the questions below. a) Solve the compound inequality. b) graph the solution -15 < 4x 7 < 17 b) Graph the solution c) write the solution in interval notation c) Write the solution in interval notation b) Graph the solution. c) Write the solution in interval notation. d) Write 3 solutions for the inequality.

8 ANSWERS: 1. x > -2 and x < 5 2. x > -5 and x < 3 3. x > 1 and x < Answers will vary -2 and less than 5 4. x < -1 or x > Answers will vary -5 and less than or equal to 3 5. x < 0 or x > 6 Answers will vary or equal to 1 and less than or equal to 6 6. x > -1 or x < -5 Answers will vary Choose any numbers less than -1 or greater than 5 Answers will vary Choose any numbers less than or equal to 0 or greater than 6 Answers will vary Choose any numbers less than or equal to -5 or greater than < x < < x < 5 9. x < 2 or x > 5 x > -2 and x < 2 x > 2 and x < Answers will vary -2 and less than < x < Answers will vary or equal to 2 and less than x < 3 or x > 6 Answers will vary Choose any numbers less than 2 or greater than > x > -4 x > 1 and x < 3 x > -4 and x < 4 Answers will vary Choose any numbers greater than 1 and less than 3 Answers will vary Choose any numbers less than or equal to 3 or greater than < x < x < -3 or x > 4 Answers will vary Choose any numbers greater than -4 and less than or equal to x < -1 or x > < x < 1

9 < temp < Cost < $60 or Cost > $110