John Alonzo 2.2 Notes: Solving Absolute Value Equations (Honors) MATH REVIEW rite the interval shown below Solve the inequality. What two numbers multiply to Simplify: as an inequality "x + 8> 18 12 and add to get -8? 3x - 8x + 4 7 - 8 18 - 221 -5 2 Ex L 5 - 28- 6= 12 Graph the solution: -2- 6 =-8 10 16 OBJECTIVE I can solve absolute value equations GUIDED NOTES: Absolute value equations differ from linear equations in that they may have ) or 2 solutions. To see why there can be two solutions, you can solve an absolute value equation using graphs f(x)=/x+2 Affr)=17x-6+3 1 (x )=/x+71+5 g(x) = 3 * 8(*) -3 *8(x) =4 2 solutions I solution No solutions When solving absolute value equations you must ISOLATE the absolute value bars, | |! Once you isolate make two equations that are EQUAL to the opposite of what it is equal to. |x+21 = 3 |7x - 6| + 3 =3 |x +71+5 =4 x12= 3 7 +32 - 3 - 3 - 3 - 5 - 5 * =-b 17x- 61 = 0 17+ 7 1 =-1 2 solutions 7 - 420 1x+71 = = 1 + 6 +6 4 * = 6 Solution