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15 A2.notebook September 06, 2011 15 Absolute Value Equations & Inequalities Know properties of inequalities. Know how to identify extraneous solutions. Understandhow to apply the concept of dividing by a negative in an inequality situation to develop your skills at solving absolute value inequalities. 1. Graph y = 3x + 2 2. Graph y 5 = 7 x Do Solve absolute value equations and inequalities. Remember you must check solutions to inequalities....there are sometimes EXTRANEOUS SOLUTIONS! 3. Graph 6x < 12 Jun 11 4:06 PM Aug 139:19 AM A. Absolute Value Equations 3. Solve 1) I sola te t he 2) S abs e bot t th olu e te v valu h the abs alu olu p e o e. equ on s te al s the itive a valu ign oth nd e = . er s neg to ide ativ of e the 1. The absolute value of a number is its distance from zero on the number line and distance is nonnegative. 2. Solve 2y 4 = 12 or 2y 4 = 12 Check the solutions. Jun 11 4:07 PM Jun 11 4:11 PM 4. Solve 5. Solve 9/5 is an extraneous solution a solution of a derived equation that isn't a solution of the original equation. Jun 11 4:12 PM Jun 11 4:15 PM 1 15 A2.notebook September 06, 2011 B. Absolute Value Inequalities 2. Solve and graph 1. If then x is more than 3 units from 0 on the number line. 5 4 3 2 1 0 1 2 x < 3 or 3 4 5 x > 3 10 9 8 7 6 5 4 3 2 1 0 1 Jun 11 4:17 PM 2 3 4 5 6 7 8 9 10 Jun 11 4:21 PM 4. Solve and graph Plug in numbers to get your head around this....Headache!!!!!! 3. Properties is equivalent to or is equivalent to Jun 11 4:22 PM Jun 11 4:26 PM ! !!!! ct Pra s ' et HW: pg. 36 (327 multiples of 3, 37, 38, 44, 45) !! ice L BOARD WARS!!!!!! Aug 307:37 AM Aug 139:12 AM 2