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WARM-UP Solve the following absolute value equations: 1. π₯ + 5 = 3 2.β|2π₯| = β4 3. |2π₯| = β4 4. |π₯ β 5| + 5 = 5 HOMEWORK QUESTIONS? ?!?!?! 3.3/3.4 SOLVING INEQUALITIES OBJ: TO SOLVE MULTI-STEP INEQUALITIES RE-CAP OF THE BASICS Brainpop Inequality video β’ http://www.brainpop.com/math/dataanalysis/graphingandsolvi nginequalities/ Example 1 Solve the inequality and graph the solutions. 45 + 2b > 61 45 + 2b > 61 β45 β45 Since 45 is added to 2b, subtract 45 from both sides to undo the addition. 2b > 16 b>8 0 2 4 6 Since b is multiplied by 2, divide both sides by 2 to undo the multiplication. 8 10 12 14 16 18 20 Example 2 Solve the inequality and graph the solutions. 8 β 3y β₯ 29 8 β 3y β₯ 29 β8 β8 Since 8 is added to β3y, subtract 8 from both sides to undo the addition. β3y β₯ 21 Since y is multiplied by β3, divide both sides by β3 to undo the multiplication. Change β₯ to β€. y β€ β7 β7 β10 β8 β6 β4 β2 0 2 4 6 8 10 Example 3 Solve the inequality and graph the solutions. 1 β 2n β₯ 21 β1 β1 β2n β₯ 20 Since 1 β 2n is divided by 3, multiply both sides by 3 to undo the division. Since 1 is added to β2n, subtract 1 from both sides to undo the addition. Since n is multiplied by β2, divide both sides by β2 to undo the multiplication. Change β₯ to β€. n β€ β10 β10 β20 β16 β12 β8 β4 0 Example 4 Solve the inequality and graph the solutions. Multiply both sides by 6, the LCD of the fractions. Distribute 6 on the left side. 4f + 3 > 2 β3 β3 4f > β1 Since 3 is added to 4f, subtract 3 from both sides to undo the addition. LETβS PRACTICEβ¦ β’ What you need β’ Pencil, paper, everything else put awayβ¦ β’ Turn your desk to face the person next to you CLASSWORK Page 156 #s 13-37 odd Exit Card Solve each inequality and graph the solutions. 1. 13 β 2x β₯ 21 2. β11 + 2 < 3p 3. 23 < β2(3 β t) Solve each absolute value equation. 4. |x + 1|β 9 = β9 5. |5 + x| β 3 = β2 6. 7 + |x β 8| = 6 Lesson Quiz: Part I Solve each inequality and graph the solutions. 1. 13 β 2x β₯ 21 x β€ β4 2. β11 + 2 < 3p p > β3 3. 23 < β2(3 β t) t>7 4. |x + 1|β 9 = β9 β1 5. |5 + x| β 3 = β2 6. 7 + |x β 8| = 6 β6, β4 no solution QUESTION #1 What is your favorite color? QUESTION #2 Who is your favorite band/artist? QUESTION #3 Do you have any pets? QUESTION #4 What is your favorite subject? QUESTION #5 Do you have a favorite football/soccer/basketball/baseball team? QUESTION #6 If you could live anywhere in the world besides the United States, where would you live? QUESTION #7 What is your favorite season? QUESTION #8 Whatβs your favorite movie/play? QUESTION #9 Who is your favorite actor/comedian? QUESTION #10 How many states have you traveled to? QUESTION #11 Did you have a favorite cartoon when you were younger? (RIP Spongebob ο) QUESTION #12 Are you an early bird or a night owl? QUESTION #13 What is your favorite book or book series? QUESTION #14 Do you have any brothers or sisters? QUESTION #15 What toppings do you like on your pizza? QUESTION #16 What is your favorite candy?