PPT-Course 2: Inequalities Solving Inequalities by Adding or

Subtracting SOL 715 Key Concept Addition Property of Inequalities Words If any number is added to each side of a true inequality the resulting inequality is also true Symbols For all numbers a b and c the following are true. Invariant . Inference. Invariants. Dictionary Meaning:. A function, quantity, or . property. which remains unchanged. Property (in our context): a predicate that holds for some, all, or no states. 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.. 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 “ . Subtraction. Lessons 3-1 and 3-2. Addition Property of Inequalities – If any number is ________________ to each side of a true ___________________, the resulting inequality is also ________________.. . Solving Inequalities. Solving inequalities follows the same procedures as solving equations.. There are a few . special . things to . consider with inequalities:. We need to look carefully at the inequality sign.. Arithmetic, Exponents, Equations and Inequalities. Absolute Values. For . any number a, exactly one of the following is true:. A is negative. A = 0. A is positive . The absolute value of a number is the distance between a . Solve for x.. 2. . . 3. . . . 4. .  . Unit 3 Day 5: Solving One and Two Step Linear Inequalities. Essential Questions:. How do we graph linear inequalities in one variable? How do we solve one and two step linear inequalities?. 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. . Evaluating Inequalities. Solving Inequalities. Math Notes – Solving and Graphing Inequalities. Today’s Lesson Concepts. Essential Question. Skill. How do I use symbolic manipulation skills ("magic" tricks) to rewrite expressions? . Lesson 2: One-Step Inequalities. Cornell Notes Header. Topic:. . Inequalities . & Two-Step Equations (Unit 7 pg. 2). E.Q.: . How. are one-step equations similar and different than one-step inequalities?. Ch. 1.5 . Solving Inequalities . EQ: How can you create and solve inequalities? I will create and solve inequalities. . Bell Work. . EQ: How can you create and solve inequalities? I will create and solve inequalities. . Inequality Symbols. < . > . <. . >. . = . ≠. Less Than. Greater . Than. Less . Than or Equal To. Greater Than or Equal To. Equal To. Not Equal To. 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.