Describe the solutions and features of a linear inequality. Graph linear inequalities.
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This lesson is the first in a series of three on linear inequalities. Students studied one-variable inequalities in grade 8, as well as graphing and solving linear equations, but this is the first time they have graphed, written, or identified solutions for linear inequalities.
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Plot three points on the graph so that the value of $$y$$ in each ordered pair is greater than the value of $$x$$.
Introduction to Linear Inequalities by Bob Lochel is made available by Desmos. Copyright © 2017 Desmos, Inc. Accessed Oct. 20, 2017, 4:04 p.m..
Modified by The Match Foundation, Inc.Below is the graph of the inequality $${y > 2x+1}$$.
Graph the following inequalities shown below:
$${x+y\leq 20}$$ |
$${x+y< 20}$$ |
$${x+y\geq 20}$$ |
$${x+y> 20}$$ |
Algebra I > Module 1 > Topic C > Lesson 21 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A student was given the following inequality to graph.
$${2x-3y\leq 9}$$
The graph this student created is incorrect. Explain the error(s) this student made and then graph the inequality correctly.