2.6 Linear Inequalities in Two Variables

Slides:

Advertisements

Similar presentations

Linear Inequalities in 2 Variables

Advertisements

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

3.7 Graphing Inequalities In Two Variables. Get y by itself Graph If ≤ or ≥: use solid line If : use dashed line If < or ≤: shade below the line If >

Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0

Graph linear inequalities with one variable EXAMPLE 2 Graph ( a ) y < –3 and ( b ) x < 2 in a coordinate plane. Test the point (0,0). Because (0,0) is.

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?

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 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.

Graphing Inequalities of Two Variables Recall… Solving inequalities of 1 variable: x + 4 ≥ 6 x ≥ 2 [all points greater than or equal to 2] Different from.

+ Lesson 6-5 Linear Inequalities November 17, 2014.

1) Graphing Linear Inequalities What linear inequality graphs look like… 1) boundary line (solid or dashed) 2) shaded area (above or below the boundary.

Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.

Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables..

Chapter 6 – Solving and Graphing Linear inequalities

1 Warm Up 1.Solve and graph |x – 4| < 2 2. Solve and graph |2x – 3| > 1 2x – x 4 x – 4 > -2 and x – 4 < x > 2 and x < 6.

8.8 Linear Inequalities, Systems, and Linear Programming.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

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

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.

3.3 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.

Graphing Inequality Systems

3.3 Graphing and Solving Systems of Linear Inequalities.

. Solve the inequality. Then graph the solution. 9 ≤ + – 4x 7 12x 1.

Math Graphing Linear Inequalities in Two Variables 1.

Chapter 3 Section 3.7 Graphing Linear Inequalities.

Daily Homework Quiz Solve the inequality. Then graph the solution. 9 ≤ +– 4x4x712x x 8 0 or 3x ANSWER –––––– ≥ x–2 x 2.

9.5 Inequalities in Two Variables  Two Key Terms  Two Objectives.

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.

Holt McDougal Algebra Solving Systems of Linear Inequalities Solve systems of linear inequalities. Objective.

Essential Question: How do you find the solution to a system of linear inequalities? Students will write a summary how to graph systems of linear inequalities.

EXAMPLE 2 Graph a linear inequality in two variables Graph the inequality y > 4x – 3. STEP 2 0 > 4(0) – 3 ? Test (0, 0) in y > 4x – 3. SOLUTION Graph the.

Graphing Linear Inequalities in 2 Variables By Tristen Billerbeck.

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.

Solving Linear Inequalities

Solving Linear Inequalities

Graphing Linear Inequalities

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

SYSTEMS OF LINEAR INEQUALITIES

6-6 Systems of Linear Inequalities

6-6 Systems of Linear Inequalities

6.5 Graphing Inequalities in Two Variables

Graphing Quadratic Inequalities

2.8 Graph Linear Inequalities in Two Variables

− −2 − −4 >5 2+4>5

Solving Systems of Linear Inequalities

Objective solve systems of linear inequalities in two variables.

Solving Linear Inequalities

Agenda: Warm-Ups Go over yesterday’s quiz

Lesson 6.7 Graph Linear Inequalities in Two Variables

Solution Solution Checking Solutions of Inequalities

2.6 Graphing linear Inequalities in 2 Variables

Solving Linear Inequalities

Take Quiz!!! Good luck.

4 WARM UP GRAPH THE INEQUALITY (Lesson 1.4) x+5<− y > 19

Lesson Objective: I will be able to …

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

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

Solve and Graph 2x + 3 < 9 2x + 3 = x = x = 3

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

Objective Graph and solve linear inequalities in two variables.

Solving Linear Inequalities

Graph Linear Inequalities in Two Variables

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).

Algebra 1 Section 7.8.

Graphing Quadratic Inequalities

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

Tell whether the ordered pair is a solution of the equation.

6-6 Systems of Linear Inequalities

Presentation transcript:

2.6 Linear Inequalities in Two Variables OBJ: To Graph linear inequalities in two variables & Use linear inequalities to solve real-life problems 2.6 Linear Inequalities in Two Variables DO NOW: Check whether the ordered pair is a solution of 4x – 2y ≥ 8 a) (3, 3) b) (-2, -9)

Then, Test a point like (0, 0) 1st, Graph a boundary line > or < uses a dashed line ≥ or ≤ uses a solid line Then, Test a point like (0, 0)

Ex 1: Graph a) y ≥ 2 b) x > -1

Ex 2: Graph 4x + 2y ≥ 8

Only when in Slope-Int Form, you can use this shortcut: > or ≥ means shade above the line < or ≤ means shade below the line

Ex 3: Graph y < 3x - 4