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Bell Work 10/15/14 s olve and graph.

Bell Work 10/15/14 s olve and graph. a + 4 > 16 15 < x – 3 -9v < -108 208 < -13x. 3-4 Solving Multi-Step Inequalities. Objective: To solve inequalities involving more than one operation. 2 Times you flip the inequality. Move variable to the left

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Bell Work 10/15/14 s olve and graph.

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  1. Bell Work 10/15/14 solve and graph. • a + 4 > 16 • 15 < x – 3 • -9v < -108 • 208 < -13x

  2. 3-4 Solving Multi-Step Inequalities Objective: To solve inequalities involving more than one operation

  3. 2 Times you flip the inequality • Move variable to the left • Multiply or divide by a negative number

  4. Examples - watch & work with me  Solve the inequalities the SAME WAY you solved equations.

  5. Example 3 x < 2x – 15 3 3x < 2x – 15 -2x -2x x < -15 (3) (3)

  6. You Try: • -3 > -3t + 6 • 26p – 20 > 14p + 64 • .

  7. 2 Special Cases • No Solutions • A false statement • All Real Solutions • A true statement

  8. Special Case #1 3x + 4 > 2(x + 3) + x 3x + 4 > 2x + 6 + x 3x + 4 > 3x + 6 -3x -3x 4 > 6 • Distribute • Combine like terms • Get variable on same side • True or false? This state is FALSE: No Solution

  9. Special Case #2 3 – 3(y – 2) < 13 – 3(y – 6) 3 – 3y + 6 < 13 – 3y + 18 -3y + 9 < -3y + 31 +3y + 3y 9 < 31 • Distribute • Combine like terms • Get variable on same side • True or false? This state is TRUE: All Numbers

  10. Define a variable, write an inequality, and solve. The sum of two consecutive even integers is greater than seventy-five. Name 2 consecutive even integers that meet the requirement.

  11. Homework • Quiz Tomorrow! • Sections 3.1 – 3.4

  12. GAME TIME! • Speed… • Whiteboard, eraser, marker. • Pack up everything • Sit quietly.

  13. Solve each inequality.

  14. Solve each inequality.

  15. Solve each inequality.

  16. PICK UP: • Each of you are responsible for • Whiteboard • Eraser • Marker • REVIEW & STUDY for the quiz tomorrow!

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