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Agenda WU (5 min) Quiz (20 min) Inequalities charts (15 min)

Mon, 3/11 SWBAT… solve inequalities using addition, subtraction, multiplication, division. Agenda WU (5 min) Quiz (20 min) Inequalities charts (15 min) Solving inequalities – adding and subtracting examples (10 min) Warm-Up:

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Agenda WU (5 min) Quiz (20 min) Inequalities charts (15 min)

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  1. Mon, 3/11SWBAT… solve inequalities using addition, subtraction, multiplication, division Agenda • WU (5 min) • Quiz (20 min) • Inequalities charts (15 min) • Solving inequalities – adding and subtracting examples (10 min) Warm-Up: • Write your HW in your planner for next TWO weeks • Take out HW#1 / HW#2: Absolute Value Functions HW#3: Solving One-Step Inequalities

  2. an open circle if you do NOT want toinclude the end value, or a closed circle if you do want to include the end value

  3. 3 4 5 3 4 5 x> 4 x + 6 ≥ 10 x≥ 4 x+6> 10

  4. Always use parenthesis with Infinity, ∞ ( ) a parenthesis if you do NOTwant to include the end value, or [ ] a bracket if you do want to include the end value.

  5. 3 4 5 0 1 2 3 4 5 Examples: x > 4 (4, ∞ ) x≥ 4 [4, ∞) x < 1 (-∞, 1) Always use parenthesis with Infinity, ∞

  6. 29 30 31 0 2 3 4 Always use parenthesis with Infinity, ∞ Examples: m < 30 (-∞, 30) x≥ 3 [3, ∞) All real numbers (-∞, ∞)

  7. Solving and Graphing Inequalities by Addition and Subtraction

  8. Ex 1: 8n ≥ 7n – 3 Ex 2: 22 > m – 8 Ex 3: Three added to a number is no more than twice the number.

  9. WARNING!!!!! (Example 2 & 3) An equation such as x = 5 can be written as 5 = x (because of the Symmetric Property of Equality) You CANNOT rewrite an inequality such as 3 < x as x < 3 The inequality sign always points to the lesser value (or it’s eati 3 < x x > 3

  10. Solving and Graphing Inequalities by Multiplication and Division

  11. Very important…. When you multiply or divide each side of an inequality by a negativenumber youalways reverse or flip the inequality symbol. <  > > < ≤  ≥ ≥  ≤

  12. RATIONALE NOT TRUE! You must reverse the inequality symbol -200 < -6 100 > 3 100(-2) > 3(-2) -200 > -6

  13. Directions: Solve the inequality, graph the solution on a number line and write in interval notation. Ex 1: Ex 2: Ex 3:

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