Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

Transcript

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