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Lesson 6.3- Solving Multi-Step Inequalities, pg. 332

Lesson 6.3- Solving Multi-Step Inequalities, pg. 332. Goals: To solve linear inequalities involving more than one operation. To solve linear inequalities involving the Distributive Property. Steps for Solving Linear Inequalities. Remove fractions - Multiply by the LCD. Simplify

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Lesson 6.3- Solving Multi-Step Inequalities, pg. 332

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  1. Lesson 6.3- Solving Multi-Step Inequalities, pg. 332 Goals: To solve linear inequalities involving more than one operation. To solve linear inequalities involving the Distributive Property.

  2. Steps for Solving Linear Inequalities • Remove fractions - Multiply by the LCD. • Simplify - Remove parentheses using the distributive property - Combine like terms • Undo addition/subtraction - Get the variables on one side of the inequality sign - Get the numbers without variables on the other side of the inequality sign. • Simplify the expressions on each side of the inequality sign. • Undo multiplication/division

  3. 1. 13 – 11d ≥ 79 2. -4y – 23 < 19 Ex. 1: Solve each inequality.

  4. 3. 4. 7b + 11 > 9b - 13

  5. 5. -5(g + 4) > 3(g – 4) 6. 3+ 5t ≤ 3(t – 1) – 4(2 – t)

  6. 7. -3m + 6 ≤ -3 8.

  7. 9. 3y + 4 > 2(y + 3)

  8. 10. 4(y + 1) – 3(y – 5) ≥ 3(y – 1)

  9. 11. 7q – 1 + 2q ≤ 29 12. 9r + 15 ≤ 24 + 10r Your turn…..

  10. 13. 14.

  11. Ex. 2: Define a variable, write an inequality, and solve each problem. • One-eighth of a number decreased by five is at least thirty. • Negative four times a number plus nine is no more than the number minus twenty-one.

  12. 3.Seven minus two times a number is less than three times the number plus thirty-two.

  13. Summary • Use the same steps to solve a linear inequality that you used to solve linear equations • When MULTIPLYING and DIVIDING both sides of an inequality by a NEGATIVE number, REVERSE the INEQUALITY SYMBOL. • NBA #9, page 335, problems 16-38 even

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