Chapter 6 Solving and Graphing Linear Inequalities

Chapter 6 Solving and Graphing Linear Inequalities 6.1 Solving OneStep Linear Inequalities Objective: -Graph linear inequalities in one variable -Solve one-step linear inequalities Terms

Graph Rules Inequalities Use the same rules that you use to solve equations. Starting your Graph

Drawing the line If you have a > or < use an open circle If you have a > or < use a closed circle Pick a test point. If the test point is true draw your line so that it crosses the test point If your test point is false draw your line away from the test point Special Cases When you multiply or divide by a negative you have to flip the inequality sign. Practice X > -2

X5>1 -10 < -x 5 + x > -5 Practice

15p < 60 -a 10 < -2 -10a > 100

5 + x > -5 White Board Practice One person from each row get materials for white board practice 6.2 Solving MultiStep Linear Inequalities Objective: -Solve multi-step linear

inequalities -Use linear inequalities to model and solve real-life problems Things to Remember If you have a > or < use an open circle If you have a > or < use a closed circle When you multiply or divide by a negative you have to flip the inequality sign. Use order of operations in reverse to solve multi-step inequalities Practice X + 5 > -13 15 x < 7

2(x-8) > -x + 4 -x+3<7 6.3 Solving Compound Inequalities Objective: -Write, solve, and graph compound inequalities -model a real-life problem with a

compound inequality Terms Compound inequality Rules Solve each inequality separately Graph each inequality on the same number line If it is an AND graph

SHADE WHERE THEY CROSS If it is an OR graph DO NOT SHADE Practice

6 20 or 8+x<0 3x + 8 > 17 or

2x + 5 < 7 6.3 Solving Compound Inequalities Part 2 Objective: -Write, solve, and graph compound inequalities -model a real-life problem with a compound inequality Missing Assignments

2nd hour Ws 6.2 WS 6.3

Brandon Blystone Dalton Mix Breanna Olinger Kyle Reed Cole Robertson Josh Thomas Brandon Blystone Pre-Test

Jonathan Crabb Cody Wheat Jeremy Wiggins 5th Hour Ws 6.1

Ws 6.2 AJ Knobelauch Ws 6.3

AJ Knobelauch Kristin Burnett AJ Knobelauch Ashlee Lewis Pre-Test Kristin Burnett Rules Solve each inequality separately Graph each inequality on the same

number line If it is an AND graph SHADE WHERE THEY CROSS If it is an OR graph DO NOT SHADE

Practice problems 3n + 3 > 24 or 5n - 3 < 25 -43 < 3x 10 < -19 Practice problems 5x 10 > 5 or 10n - 30 < 120 15 < 3x 9 < 21 6.4 Solving Absolute Value Equations and Inequalities Objective: -Solve absolute value equations -Solve absolute value inequalities Terms

Absolute Value And graph Or graph Rules

Get rid of absolute value by making 2 problems Determine the type of graph (and or or) Solve both equations

Graph the answers on one number line Practice I xI=8 I x +3I<8 I x5I=7 I 3x + 2 I 1 > 10 White Board Practice One person from each row get materials for white board practice 6.5 Graphing Linear Inequalities in 2 Variables

Objective: -Graph linear inequalities in two variables 6.6 Stem-and-Leaf Plots and Measures of Central Tendency Objective: -Make and use a stem-and-leaf plot -Find the measures of central tendency