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.

Slides:



Advertisements
Similar presentations
ORDER and INTERVAL NOTATION GRAPHING THE NUMBER SETS ON THE NUMBER LINE GRAPH: -1 < x < INTERVAL NOTATION (AND TYPE) (-1, 3 ) Bounded &
Advertisements

9.4 – Solving Absolute Value Equations and Inequalities 1.
Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.
2.4 – Linear Inequalities in One Variable
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.
13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?
Unit 1 Test Review Answers
Notes Over 6.3 Writing Compound Inequalities Write an inequality that represents the statement and graph the inequality. l l l l l l l
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Equations and Inequalities Chapter 2.
Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.
Objectives: 1.Graph (and write) inequalities on a number line. 2.Solve and graph one-variable inequalities. (Linear) 3.Solve and graph compound inequalities.
Copyright © 2011 Pearson Education, Inc. Linear and Absolute Value Inequalities Section 1.7 Equations, Inequalities, and Modeling.
Linear Inequalities and Absolute Value Inequalities.
3.6 Solving Absolute Value Equations and Inequalities
Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.
Pre-Calculus Section 1.7 Inequalities Objectives: To solve linear inequalities. To solve absolute value inequalities.
Section P.2 Solving Inequalities 1.Solutions of inequalities are all values that make it true (or satisfy the inequality); called a solution set Bounded.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
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 – Linear Inequalities (NC)
Warm Up Solve |x – 5| = 4 x – 5 = 4 or x – 5 =
Day Problems For each solution write and graph an inequality.
Section P.2 Solving 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.
Practice 6.7. Solve the inequality and graph your solution #1 AND OR.
4.3 Solving Systems of Linear Inequalities 11/7/12.
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.
Copyright © Cengage Learning. All rights reserved. 1 Equations, Inequalities, and Mathematical Modeling.
Solving Inequalities Using Addition or Subtraction Honors Math – Grade 8.
Objectives: Graph (and write) inequalities on a number line.
Linear Inequalities in One Variable
3.3 – Solving Systems of Inequalities by Graphing
6-6 Systems of Linear Inequalities
1.7 Introduction to Solving Inequalities
2.) Is x = –5 a solution to 3x < - 12?
Linear Inequalities in Two Variables
2.6 Solving Absolute-Value Inequalities
3.3 Graphs of Nonlinear Inequalities
Solving Inequalities Using Addition and Subtraction
Warm-up: Solve x2 – 3x + 2 = 0 HW: pg (2, 6, 8, 10, 12, 28, 32, 42, 44, 50, 66, 70, 74, 76)
ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)
Absolute Value inequalities
Absolute Value Inequalities
3-2 Solving Inequalities Using Addition or Subtraction
Solution Solution Checking Solutions of Inequalities
Polynomial and Rational Inequalities
Inequalities.
Objective Graph and solve systems of linear inequalities in two variables.
  CW: Pg (27, 31, 33, 43, 47, 48, 69, 73, 77, 79, 83, 85, 87, 89)
1.5 Linear Inequalities.
Linear Inequalities and Absolute Value
Indicator 10 Solving Inequalities.
Solving Compound Inequalities
6-6 Systems of Linear Inequalities
Equations and Inequalities
Objectives Identify solutions of linear equations in two variables.
Algebra 1B – Name: _________________________
Absolute Value Inequalities
ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)
4 minutes Warm-Up Solve..
Jeopardy Final Jeopardy Solving Equations Solving Inequalities
A system of linear inequalities is a set of two or more linear inequalities containing two or more variables. The solutions of a system of linear inequalities.
4 minutes Warm-Up Solve and graph. 1) 2).
3-2 Solving Inequalities Using Addition and Subtraction
Warm-up: State the domain.
Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.
Presentation transcript:

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 to satisfy the inequality.  The set of all real numbers that are solutions of an inequality is the solution set of the inequality.  The set of all points on the real number line that represent the solution set is the graph of the inequality.

Write an inequality to represent each interval and state whether the interval is bounded or unbounded. (-3,5] (-3, ) [0,2] (-, )

Properties of Inequalities

Solving a Linear Inequality

Absolute Value Inequalities