2.7 Two-Variable Inequalities. y _ dashed line. This means that the line is NOT part of the solution. y _ dashed line. This means that the line.

Slides:

Advertisements

Similar presentations

 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.

Advertisements

Graph the system of inequalities.

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

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 >

Solve Systems of Equations & Graph Inequalities

Graphing Two-Variable Inequalities (Day 7) We are learning to…graph inequalities with two variables on a coordinate plane. Thursday, August 06, 2015.

EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y  –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid.

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.

Absolute Value Inequalities

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

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

Graph the boundary line the same as if the problem was a linear equation.  Pretend that there is an equal sign and use an appropriate method to graph.

 Linear Equations in Two Variables  To Graph a Linear Inequality 1)Graph the related linear equality (forms the boundary line).  and  are graphed.

Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.

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

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!

AAT(H) 9.5 SYSTEMS OF INEQUALITIES. EX 1) GRAPH THE INEQUALITY Remember! use a dashed line for and a solid line for ≤ or ≥ Test one point in each region.

9-5 Inequalities in Two-Variables 9P6: Use 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

2-8 Two- Variable Inequalities Apply rules for graphing by creating the graph of a two-variable inequality.

Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.

Algebra 2 Graphing Linear Inequalities in Two Variables.

9.5 Inequalities and two variables

2.8 – Graphing Inequalities. Steps for graphing inequalities:

GraphingSubstitutionEliminationNon-LinearInequalities

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

3.6 Solving Absolute Value Equations and Inequalities

2.8B Graphing Absolute Value Inequalities in the Coordinate Plane 1. Find location of the absolute value “V”  a I x – h I + k 2. Determine if graph is.

GOAL Graphing linear inequalities in two variables.

Graphing a Linear Inequality

Section 2.7 Linear Inequalities. Inequality signs: >, ≥,

Graphing linear Inequalities in 2 Variables. Checking Solutions An ordered pair (x,y) is a solution if it makes the inequality true. Are the following.

Further preview of Sec Objective: solve a system of two linear inequalities in two variables and to Graph the solution sets.

Graphing Linear Inequalities in Two Variables A solution to a linear inequality is a point (x, y) that makes the inequality true. The solution set includes.

Graphing a Two Variable Inequality. Examining the Solutions of a Linear Equation Are the following points solutions to the equation y = -2x + 3 ? Justify.

Graphing Quadratic Inequalities Chapter 5.7. Graphing Quadratic Inequalities STEP 1 – Graph the parabola. If the symbol is, draw it with a dashed line.

Systems of Inequalities Essential Question: How do we solve systems of inequalities by graphing? Standard: MCC9-12.A.REI.12.

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.

Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES.

Type Example Solution Linear equations 2x – 8 = 3(x + 5) A number in one variable x = -23.

Chapter 9 Linear and Quadratic Inequalities

3.3 – Solving Systems of Inequalities by Graphing

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

Linear Inequalities Solution to inequality in one variable – interval on number line Solution to inequality in two variables – points in the plane Graph.

1.8 Graphing Linear Inequalities

Graphing Systems of Inequalities.

Objective #51: Graph linear inequalities in 2 variables

Graphing Quadratic Inequalities

− −2 − −4 >5 2+4>5

Lesson 6.7 Graph Linear Inequalities in Two Variables

Graphing Systems of Linear Inequalities in Two Variables

2.6 Graphing linear Inequalities in 2 Variables

Section 6.8 Linear Inequalities in Two Variables

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

Solutions of Equations and Inequalities

Graphing and Solving Systems of Linear Inequalities

Inequalities 40 points.

Linear Inequalities in Two Variables

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

Graphing Linear Inequalities

Graphing a Linear Inequality

How do we solve quadratic inequalities?

6.6 Systems of Linear Inequalities

1.4 Graphing linear Inequalities in Two Variables

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.

Presentation transcript:

2.7 Two-Variable Inequalities

y _____ dashed line. This means that the line is NOT part of the solution. y _____ dashed line. This means that the line is NOT part of the solution.

y _____ solid line. This means that the line IS part of the solution. y _____ solid line. This means that the line IS part of the solution.

Which way do you shade the graph? Graph the inequality y > -x + 2 Which way do you shade? - Pick a point, not on the line. Plug it in and see if the equation is true.

Which way do you shade the graph? Graph the inequality y > -x + 2 What is the easiest point to pick? (0,0) Plug in – 0 > - (0) + 2

Which way do you shade the graph? Graph the inequality y > -x > - (0) + 2 Is this true? NO. So don’t cover this point; shade the other direction.

What if the answer WAS true? Graph the inequality y < -x < - (0) + 2 Is this true? YES. So DO cover this point; shade the graph to cover the point.

Practice: graph each inequality a. y < 3x – 2 b. y < |x + 4| - 3 c.y > |x - 3| + 2