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2.9 Solve Linear Inequalities and Set Notation

2.9 Solve Linear Inequalities and Set Notation. Inequalities Graph 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. Note: 1. When divide or multiply by a negative, only the inequalities symbol flip.

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2.9 Solve Linear Inequalities and Set Notation

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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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