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Chapter: Solving Linear Inequalities Lesson: Solving Inequalities by Using Addition and Subtraction Name: Date: Period: Student Notes: 5 examples: 1. Solve. x + (-14) < 16 Rewrite: Solve this problem as if the __ was an __. 2. Solve. y + 21 > 7 3. Solve. 8y + 3 > 9y -14 Move the _____ variable. We always like to write the variable on the left side of the inequality. When you switch the answer around, you must switch the ________, too! 4. Solve. 3r - 17 ≥ 2r + 14 5. Joanna’s tests were 87, 93, 88, and 94. What must her 5th test grade be to get a total of at least 459? g = ____________ equation: Answer: Chapter: Solving Linear Inequalities Lesson: Solving Inequalities by Using Multiplication and Division Name: Date: Period: Student notes: NEW STEP: ** ** k 13 . 4 k (-4) 13 (-4) 4 k < -52 Ex: Solve Multiply both sides by _____. Switch the inequality! x 10 . Multiply both sides by 3. Do you switch the inequality? 3 x (3) 10 (3) Why not? 3 Ex: Solve a 6. 4 a (-4) 6 (-4) 4 Ex: Solve Do you switch the inequality? Why? Ex: Solve –8p ≥ -96. -8p ≥ -96 Do you switch the inequality? Why? Ex: Solve 7v < -105. 7v < -105 Do you switch the inequality? Why? Chapter: Solving Linear Inequalities Lesson: Solving Multi-Step Inequalities Student notes: 5 examples: 1. Solve 5m - 8 > 12. 2. Solve 12 - 3a > 18. 3. Solve 5m - 4 < 2m + 11. 4. Solve 2r - 18 ≤ 5r + 3. 5. Solve 26p - 20 > 14p + 64. Name: Date: Period: Module: Solving Linear Inequalities Lesson: Solving Compound Inequalities Name: Date: Period: CW Practice: Graph the solution set of each compound inequality. 1. p < -8 and p > 4 2. n ≤ -5 or n ≥ -1 3. x < -7 or x ≥ 0 Write a compound inequality for each solution set shown below. 4. -4 -3 -2 -1 0 1 2 3 5. -6 -4 -2 0 2 4 6 8 Solve each compound inequality. Then graph the solution set. 6. x - 4 < 1 and x + 2 > 1 7. x + 4 < 2 or x - 2 > 1 8. 6 - c > c or 3c - 1 < c + 13 9. 14 < 3h + 2 < 2 10. 3y + 1 > 10 and y ≠ 6

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