PPT-9.4 – Solving Absolute Value Equations and Inequalities

1 1 2 3 4 Absolute Value Equations 2 Absolute Value Inequalities Absolute value inequalities are solved in the same way linear inequalities are solved Change the inequality to an equality and solve. Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Equations. AII.4a – The student will solve, algebraically and graphically, absolute value equations and inequalities. Graphing calculators will be used for solving and for confirming the algebraic solution. . If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Solving an Absolute Value Equation. You have already used graphs and mental math to solve some absolute value equations. For instance:. 8 and -8. This has two solutions:. Solving an Absolute Value Equation. Ch. 1.6. Absolute Value Equations and Inequalities . EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities. . Bell Work. Solve the inequality. Graph the solution. . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Unit 8 . – Solving Inequalities. Vocabulary. Inequality. – A mathematical sentence that compares two unequal expressions using one of the symbols:. < (less than). > (greater than) . ≤ (less than or equal to). Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. Inequality Symbols. < . > . <. . >. . = . ≠. Less Than. Greater . Than. Less . Than or Equal To. Greater Than or Equal To. Equal To. Not Equal To. Solving Absolute Value . Inequalities. Situation. The Frito-Lay plant has strict standards when it comes to bagging their products. The weight of the chips in a snack-size bag must be within 0.15 ounces of the advertised size of 1.75 ounces in order to be sent to the store shelf. . 5.3 Solving Multiple Step Inequalities Algebra 1 INEQUALITIES The relationship between two expressions that are NOT necessarily equal. Less Than Under Fewer Great er Than More Than Sixth. Edition. Chapter . 2. Linear Functions and Equations. Copyright © . 2018, 2014, 2010 . Pearson Education, Inc. All Rights Reserved. 2.5 Absolute Value Equations and Inequalities. Evaluate and graph the absolute value function. Katherine Wu. the . absolute value. of a number is its distance from 0 on a number line. distance is nonnegative so the absolute value of a number is always positive. symbol |x| is used to represent the absolute number of a number x. Siu. A. Chin. Texas A&M University. Castellon, Sept. 6, 2010. Forward. algorithms, with all positive time steps for solve time-irreversible equations with a diffusion kernel beyond the second-order. .