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Solving Linear Inequalities and Graphing Set Notations Tutorial

Learn how to solve and graph linear inequalities with set notation, including rules for flipping symbols and adjusting when the variable is on the right side. Practice problems provided.

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Solving Linear Inequalities and Graphing Set Notations Tutorial

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  1. 2.9 Solve Linear Inequalities and Set Notation InequalitiesGraph 1. x > a 2. x < a 3. x ≥ a 4. x ≤ a 5. – a < x < a or a > x > – a 6. x < – a or x > a

  2. Note: 1. When divide or multiply by a negative, only the inequalities symbol flip. 2. When the variable (x, m, n or other) on the right side, you must flip the entire answer. 3. Sometimes you can have two opens, two closed, or one of each.

  3. Ex. Solve and graph the inequality: 4x – 9 < 25

  4. Ex. Solve and graph the inequality: 4 ≤ 6x – 10 ≤ 14

  5. Ex. Solve and graph the inequality: 3x + 5 < 11 or 5x – 7 ≥ 23

  6. Ex. Solve and graph the inequality: 45 ≥ – 9x

  7. Ex. You have $50 to spend at a county fair. You spend $20 for admission. You want to play a game that costs $1.50. describe the possible numbers of times you can play the game.

  8. HW 2.9 pg. 159 # 29 – 51 odd

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