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
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
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