Equations and Inequalities involving Absolute Value

Slides:

Advertisements

Similar presentations

Special Equations - Absolute Value and Interval Notation

Advertisements

Solving an Absolute Value Equation

CALCULUS 1 – Algebra review Intervals and Interval Notation.

Splash Screen Inequalities Involving Absolute Values Lesson5-5.

Solve an absolute value inequality

Table of Contents First, isolate the absolute value bar expression. Linear Absolute Value Inequality: Solving Algebraically Example 1: Solve Next, examine.

9.4 – Solving Absolute Value Equations and Inequalities 1.

3-6 Compound Inequalities

EXAMPLE 1 Solve absolute value inequalities

Solving Absolute Value Equations and Inequalities.

Solving Absolute Value Inequalities Use the following principles for solving absolute value inequalities: 1) If Then 2) If Then (less than) (greater than)

Table of Contents Solving Absolute Value Inequalities Use the following principles for solving absolute value inequalities: 1) If Then 2) If Then (less.

Absolute Value Inequality

Section 8-7 Solving Rational Inequalities

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Review for Quiz. Determine whether each value is rational or irrational: e Rational Irrational Rational Irrational.

UNIT 4, LESSON 5 Absolute Value Equations. Review of Absolute Value ions/absolutevalue/preview.weml

ACTIVITY 41 Review For Final Problem 17 Evaluate the expression:

Quadratic Equations Absolute Value Equations Radical or Quadratic in Form Inequalities $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Linear Inequalities and Absolute Value Inequalities.

Chapter 2.7 – Absolute Value Inequalities. Objectives Solve absolute value inequalities of the form /x/ < a Solve absolute value inequalities of the form.

Solving Absolute Value Equations and Inequalities.

3.6 Solving Absolute Value Equations and Inequalities

Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.

Type Example Solution Example Find the solution set: a) |x| = 6; b) |x| = 0; c) |x| = –2 a) We interpret |x| = 6 to mean that the number x is 6 units.

Pre-Calculus Section 1.7 Inequalities Objectives: To solve linear inequalities. To solve absolute value inequalities.

1.6 Absolute-Value Equations & Inequalities. Absolute value of a number is its distance from zero on the number line. Absolute value of a number is never.

October 31, 2012 Solving Absolute Value Inequalities DO NOW: Solve │x + 13│ = 8 3. │3x – 9│= -24 HW 6.5b: Pg. 350 #29- 39, skip 36 and 38 Unit Test.

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.

Table of Contents Rational Functions and Domains where P(x) and Q(x) are polynomials, Q(x) ≠ 0. A rational expression is given by.

Rational Functions and Domains where P(x) and Q(x) are polynomials, Q(x) ≠ 0. A rational expression is given by.

Standard 44: Domains of Rational Expressions BY: ABBIE, ABBY, HARLEY, COLE.

Linear Inequalities in One Variable Objective: To solve linear inequalities.

Properties of Real Numbers Objective: Review Properties of Real Numbers.

Chapter 1.8 Absolute Value and Inequalities. Recall from Chapter R that the absolute value of a number a, written |a|, gives the distance from a to 0.

Review #2 Algebra Review. A real number that corresponds to a particular point on the number line is called a coordinate. The origin corresponds to the.

1.1 Real Numbers and the Coordinate Plane HW: Pg. 11# 1 – 14 (for 5 – 10 write them in interval notation as well) Pg. 21 # 7 – 10 Finish Sets of Numbers.

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.4 – SOLVING ABSOLUTE VALUE EQUATIONS Unit 1 – First-Degree Equations and Inequalities.

Math 71A 4.3 – Equations and Inequalities Involving Absolute Value 1.

1.5: Solving Inequalities Goals: Use interval notation. Use properties of inequalities. Solve linear inequalities algebraically and graphically. Solve.

Copyright © 2011 Pearson Education, Inc.

Solving Absolute Value Inequalities

Quiz Chapter 2 Ext. – Absolute Value

Linear Inequalities in One Variable

U1A L6 Linear, Quadratic & Polynomial Inequalities

Polynomial and Rational Inequalities

Solving Absolute-Value Inequalities

To solve absolute value equations and inequalities in one variable

Ch 6.5 Absolute Value Equations

Polynomial and Rational Inequalities

Associative Property of addition Commutative Property of addition

SOLVING ABSOLUTE-VALUE EQUATIONS

1.5 Linear Inequalities.

Absolute Value Equations

Absolute Value Equations Absolute Value Inequalities Factoring

2.5 Absolute Value Equations and Inequalities

Absolute Value Inequalities

3.5 Polynomial and Rational Inequalities

Solving absolute value equations visually

Unit 1 Representing Real Numbers

Absolute Value The absolute value of a number is the distance from zero on a number line.

Jeopardy Final Jeopardy Solving Equations Solving Inequalities

Solving Absolute Value Equations and Inequalities

L1-5 Algebra 2.

1-6: Absolute Value Equations

> Inequalities <

Presentation transcript:

Equations and Inequalities involving Absolute Value Objectives: Solve equations involving Absolute Value Solve inequalities involving Absolute Value

Absolute Value Equations Absolute Value Inequalities Absolute Value: on the real number line, the absolute value of a equals the distance from zero on the number line to the point whose coordinate is a

1. 2. Solve each equation

3. 4. Solve each equation

Solve each inequality. Express your answer in interval notation 1. 2. Solve each inequality. Express your answer in interval notation

Solve each inequality. Express your answer in interval notation 3. 4. Solve each inequality. Express your answer in interval notation

Solve each inequality. Express your answer in interval notation 5. Solve each inequality. Express your answer in interval notation