Chapter 2 Section 7 Two-Variable Inequalities

Slides:

Advertisements

Similar presentations

Warm Up # 1 The perimeter of a rectangle is 32. The length is 1 more than twice the width. What are the dimensions of the rectangle? Solve the system:

Advertisements

 indicates dotted/dashed line  < indicates below or to the left of the line  > indicates above or to the right of the line  If equals is part of.

How to Graph a Linear Inequality. Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary.

Objective Graph and solve systems of linear inequalities in two variables.

Graphing Linear Inequalities. Objectives How do we graph an inequality Define a boundary line Graphing a boundary line Define the solution for an inequality.

9.4 – Solving Absolute Value Equations and Inequalities 1.

4.3.1 – Systems of Inequalities. Recall, we solved systems of equations What defined a system? How did you find the solutions to the system?

Warm - Up Graph the linear equation 2y + 4x = -2..

2.8 Graph Linear Inequalities in Two Variable. Types of Two Variable Inequalities: Linear Inequality: y < mx + b Ax + By ≥ C Absolute Value Inequality:

3.3 Solving Systems of Inequalities by Graphing Pg. 123 Standards addressed: 2.1 & 2.2.

3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.

Warm UP: Solve and check: 1) 3n – 7 = 262) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check:

6.6 Linear Inequalities TSWBAT sketch the region defined by linear inequality Chapter 6 Algebra 1 Ms. Mayer.

Chapter 6 – Solving and Graphing Linear inequalities

Graphing Linear Inequalities in Two Variables Section 6.5 Algebra I.

Chapter 7 Section 5 Graphing Linear Inequalities.

Chapter 2 Section 7 Two-Variable Inequalities. Linear Inequality Linear Inequality – an inequality in two variables whose graph is a region of the coordinate.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

Algebra 2 Section 2.8. Graph the piecewise function. Find the domain and range.

GraphingSubstitutionEliminationNon-LinearInequalities

3.6 Solving Absolute Value Equations and Inequalities

Chapter 2: Equations and Inequalities

Warm-Up Solve the following Inequalities:

6.5 Solving Inequalities by Factoring. Steps to Solve To solve an inequality by factoring, treat the inequality like an sign and solve. Make sure to set.

Good Morning Systems of Inequalities. Holt McDougal Algebra 1 Solving Linear Inequalities Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write –6x.

Graphing a Linear Inequality

Drill #25 1. Find the slope intercept equation of the lines a.) parallel to and b.) perpendicular to y = ¾x + 1 passing through (6,2) 2. Find the standard.

SILENTLY Algebra 1 19 April 2011 SILENTLY Homework due next class: pg. 318: 8, 14 Warm up: Solve each inequality for y: 1) 84x + 7y > 70 2) 4.8x – 0.12y.

CHAPTER TWO: LINEAR EQUATIONS AND FUNCTIONS ALGEBRA TWO Section Linear Inequalities in Two Variables.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 5 Graphing Linear Inequalities in Two Variables.

Chapter 2 Section 2.7. Objectives To draw graphs of inequalities in two variables. Use a graphing calculator to graph linear inequalities.

Graphing Linear Inequalities Review: One variable inequality and graph 1.) x > 2 2.) x

Solving a Linear Inequality. Solving an Inequality In order to find the points that satisfy an inequality statement: 1. Find the boundary 2. Test every.

Warm Up: Graph the following inequality. Test Point: (0,0) Section 9.4 – Systems of Inequalities Graphing Calculator Required (3/2)x+2.

Graphing Linear Inequations y > y is greater than  all points above the line are a solution y < y is less than  all points below the line are a solution.

Solving Systems of Equations Graphing Linear Inequalities.

Graphing Linear Inequalities in 2 Variables By Tristen Billerbeck.

Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

Solving Systems of Linear Inequalities Warm Up Determine if the given ordered pair is a solution of the system of equations. 2. (2, –2) 2y – x = –6 2x.

Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.

Solving Linear Inequalities

Chapter 9 Linear and Quadratic Inequalities

Warm Up Solve each inequality for y. 1. 8x + y < 6

6-6 Systems of Linear Inequalities

Objectives: Learn to solve Linear Inequalities 3x + 2y > 6 y > 0

Graphing Linear Inequalities

SYSTEMS OF LINEAR INEQUALITIES

Graphing Linear Inequalities.

Linear Inequalities and Systems of Linear Inequalities

Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing.

2.7 Two-variable inequalities (linear) 3.3 Systems of Inequalities

SECTION 6-5 : LINEAR INEQUALITIES

6.5 Solving Inequalities by Factoring

Linear Inequalities in Two Variables

Solving Systems of 5-6 Linear Inequalities Warm Up Lesson Presentation

Warm- up #38 Graph on the same coordinate plane: 1.) 5x +2y < -10

of Linear Inequalities

Solve Systems of Linear Inequalities

UNIT 6 REVIEW FOR GRAPHING INEQUALITIES TEST

Algebra 2 09/12/16 EQ: How do I graph 2-variable linear inequality

7.6 Graphing Systems of Linear Inequalities

Graphing a Linear Inequality

Algebra 1B – Name: _________________________

Graph Linear Inequalities in Two Variables

Solving Systems of Equations and Inequalities

Section Graphing and Solving Systems of Linear Inequalities

Linear Inequalities in Two Variables

Learning Target Students will be able to: Graph and solve linear inequalities in two variables.

6-6 Systems of Linear Inequalities

Graphing Inequalities

Presentation transcript:

Chapter 2 Section 7 Two-Variable Inequalities Algebra 2 Notes January 21, 2009

Warm-Ups Solve each inequality. Graph the solution on a number line. Solve and graph each absolute value equation or inequality.

Practice Test Problem #12: Any Questions so far??

Solving an Inequality A Solution is any ordered pair that makes the equation TRUE Example: Possible Solutions:

Graphing an Inequality Feasible Region: the area which includes all possible solutions to the inequality Graph the following inequality: Check your answer: pick an ordered pair in the feasible region and see if it makes the inequality true.

Graphing an Inequality Graph the following inequalities:

Steps to Graphing a Linear Equality Step 1: Graph the given equation Step 2: Use the correct line Use a solid line Use a dotted line Step 3: Shade Shade below the line Shade above the line Step 4: Check your answer!

Graphing Absolute Value Inequalities Graph each absolute value inequality Remember! Plot the vertex first then find two other points on either side of the vertex!

Homework #10 Pg 104 #1, 5, 7, 11, 15, 18, 20- 22, 28, 36-42 Yes, you will need graph paper! Don’t forget about the test on Friday!! Review day tomorrow