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3.2 Solving Inequalities Using +/-

3.2 Solving Inequalities Using +/-. Objective: SWBAT solve inequalities using addition and subtraction. Mini Quiz 20. Graph x < 4 Is 2 a solution to 4 n – 3 < 5? When you graph, how do you tell if the dot is open or close? When you graph, how do you tell which side to shade?. 0. Overview.

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3.2 Solving Inequalities Using +/-

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  1. 3.2 Solving Inequalities Using +/- Objective: SWBAT solve inequalities using addition and subtraction.

  2. Mini Quiz 20 • Graph x < 4 • Is 2 a solution to 4n – 3 < 5? • When you graph, how do you tell if the dot is open or close? • When you graph, how do you tell which side to shade? 0

  3. Overview • Solving inequalities using addition and/or subtraction • Solving and checking solutions

  4. Quick Review 1. When you graph, how do you tell if the dot is open or close? close when it’s < or > open when it’s ≤ or ≥ 2. When you graph, how do you tell which side to shade? when x is smaller (< or ≤), shade to left when x is bigger (> or ≥), shade to the right

  5. Addition and Subtraction of Inequalities Solve and graph each inequalities 1. x – 3 < 5 + 3 + 3 x < 8 • Checking your solution: • Check Computation • x – 3 = 5 • 8 – 3 = 5 • 5 = 5 2. Check Inequality x – 3 < 5 7 – 3 < 5 4 < 5 0 8

  6. Addition and Subtraction of Inequalities Solve and graph each inequalities ( solutions) 1. x + 3 < 5 2. m – 6 > -4 3. 1 ≤ x + 5 4. n – 7 ≤ -2 x < 2 m > 2 x≥ -4 n ≤ 5 0

  7. Application 5. The maximum safe load of a chairlift is 680 lb. A cyclist rides the chairlift with his bicycle. The cyclist weights 124 lb, and the bicycle weighs 32 lb. Which inequality best describes how much additional weight w the chairlift could safely carry?

  8. Addition and Subtraction of Inequalities Solve and graph each inequalities ( solutions) 6. -4.1 > y – 0.9 7. m + 2.3 ≤ -1.2 8. y < -3.2 m ≤ -3.5 k ≤ 19/4 0

  9. Wrap Up • Solve inequalities by • +/- • Check solutions •  computation •  inequality HW: P. 132 #1 – 37 EOO, #43 – 55 EOO, 65 – 69 odd Write DLUQ for the notes.

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