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3.2 Solving Inequalities Using +/Objective: SWBAT solve inequalities using addition and subtraction. Mini Quiz 20 1. Graph x < 4 0 2. Is 2 a solution to 4n – 3 < 5? 3. When you graph, how do you tell if the dot is open or close? 4. When you graph, how do you tell which side to shade? Overview Solving inequalities using addition and/or subtraction Solving and checking solutions 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 Addition and Subtraction of Inequalities Solve and graph each inequalities Checking your solution: 1. x – 3 < 5 1. Check Computation 2. +3 +3 x–3=5 8–3=5 x<8 5 = 5 0 Check Inequality x–3<5 7–3<5 4 < 5 8 Addition and Subtraction of Inequalities Solve and graph each inequalities ( solutions) x<2 1. x + 3 < 5 m>2 2. m – 6 > -4 x ≥ -4 3. 1 ≤ x + 5 n≤5 4. n – 7 ≤ -2 0 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? a) 124 w 680 32 b) 32 w 680 124 c) 124 32 w 680 d) 124 32 w 680 Addition and Subtraction of Inequalities Solve and graph each inequalities ( solutions) y < -3.2 6. -4.1 > y – 0.9 m ≤ -3.5 7. m + 2.3 ≤ -1.2 3 8. 4 k 4 k ≤ 19/4 0 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.