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

Slides:

Advertisements

Similar presentations

A.6 Linear Inequalities in One Variable Interval Not.Inequality Not.Graph [a,b] (a,b) [a,b) (a,b] [ ] a b.

Advertisements

Section 1.7 Linear Inequalities and Absolute Value Inequalities

Section 9.2 Systems of Equations

1.4 Solving Inequalities. Review: Graphing Inequalities Open dot:> or < Closed dot:> or < Which direction to shade the graph? –Let the arrow point the.

Section 4.2 Intersections, Unions & Compound Inequalities  Using Set Diagrams and Notation  Intersections of Sets Conjunctions of Sentences and  Unions.

A3 1.7a Interval Notation, Intersection and Union of Intervals, Solving One Variable Inequalities Homework: p odd.

9.4 – Solving Absolute Value Equations and Inequalities 1.

2.4 – Linear Inequalities in One Variable

3.7 Absolute Value Equations and Inequalities I can solve equations and inequalities involving absolute value.

1.7 – Linear Inequalities and Compound Inequalities

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

3.3 Graphing Systems of Inequalities. Steps to Graphing a System of Inequalities. 1) Graph each inequality with out shading the region. 2) Find the region.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

3.5 – Solving Systems of Equations in Three Variables.

Solving Inequalities Solving Inequalities Objective: SWBAT solve and graph compound inequalities.

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Chapter 1.6 Solving Compound & Absolute Value Inequalities

Pre-Calculus Section 1.5 Equations Objectives: To solve quadratics by factoring, completing the square, and using the quadratic formula. To use the discriminant.

Linear Inequalities and Absolute Value Inequalities.

3.6 Solving Absolute Value Equations and Inequalities

Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.

Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.

Ch. 1-5 Absolute Value Equations and Inequalities.

Solving Open Sentences Involving Absolute Value

Slide 2- 1 Copyright © 2012 Pearson Education, Inc. Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Section 4.3 Solving Absolute Value Equations and Inequalities

Day Problems For each solution write and graph an inequality.

1.7 Linear Inequalities.  With an inequality, you are finding all values of x for which the inequality is true.  Such values are solutions and are said.

9.3 – Linear Equation and Inequalities 1. Linear Equations 2.

Systems of Equations Standards: MCC9-12.A.REI.5-12

Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.

Copyright © 2011 Pearson Education, Inc. Systems of Linear Equations in Two Variables Section 5.1 Systems of Equations and Inequalities.

PreCalculus Section P.1 Solving Equations. Equations and Solutions of Equations An equation that is true for every real number in the domain of the variable.

Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination.

Section 2.6 Solving Linear Inequalities and Absolute Value Inequalities.

Appendix A.6 Solving Inequalities. Introduction Solve an inequality  Finding all values of x for which the inequality is true. The set of all real numbers.

Warm-Up Solve the system by graphing y = x + 2 x = −3 Solve the system by graphing 4x + y = 2 x − y = 3.

Precalculus Section 3.1 Solve and graph linear inequalities A linear inequality in one variable takes the form: ax + b > c or ax + b < c To solve an inequality,

Section 2.7 – Linear Inequalities and Absolute Value Inequalities

Objectives: Graph (and write) inequalities on a number line.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

2.1/2.2 Solving Inequalities

Linear Inequalities in One Variable

Students will be able to:

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

3.3 – Solving Systems of Inequalities by Graphing

Systems of Equations and Inequalities

2.) Is x = –5 a solution to 3x < - 12?

To solve absolute value equations and inequalities in one variable

Equations and Inequalities involving Absolute Value

FUNDAMENTAL ALGEBRA Week 11.

Section 5.5 Solving Absolute Value Equations and Inequalities

Section 1.7 Linear Inequalities and Absolute Value Inequalities

Section P9 Linear Inequalities and Absolute Value Inequalities

Solve a system of linear equation in two variables

Absolute Value inequalities

Systems of Linear Equations in Two Variables

Polynomial and Rational Inequalities

Graphing systems of linear equations and inequalities

Chapter 4: Solving Inequalities

Solving Equations and Inequalities with Absolute Value

CW: Pg (27, 31, 33, 43, 47, 48, 69, 73, 77, 79, 83, 85, 87, 89)

1.5 Linear Inequalities.

Solving Compound Inequalities

HW: Maintenance Sheet DUE

Algebra 1B – Name: _________________________

Section P9 Linear Inequalities and Absolute Value Inequalities

Warm-up: State the domain.

Presentation transcript:

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

Solving an Inequality To solve an inequality that contains a variable means to find all values of that variable that make the inequality true. Unlike an equation, an inequality generally has infinitely many solutions. These form an interval or a union of intervals on the number line.

Ex 1. Solve the inequality. Express the solution using interval notation and graph the solution set. a)3x < 9x + 4 b)4 ≤ 3x – 2 < 13

Ex 2. Solve the absolute value inequality. Express the solution using interval notation and graph the solution set. a) b)

Class Work Solve, graph the solution set, and express the solution set in interval notation. 1.5 – 3x ≤ ≤ 3x + 7 ≤ ½ 3.15x – 4 < 6 4.

HW #6 p eoo, eoo, 95, 96