3-6 Graphing Inequalities
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3-6 3-6 Graphing Inequalities Graphing Inequalities
ObjectiveObjective
Learn to graph linear and absolute value Learn to graph linear and absolute value inequalities on the coordinate planeinequalities on the coordinate plane
VocabularyVocabulary
Related equationRelated equation The equation that the inequality resemblesThe equation that the inequality resembles Ex. y > 3x + 5 and Ex. y > 3x + 5 and y = 3x + 5y = 3x + 5
BoundaryBoundary A line or curve that separates the coordinate A line or curve that separates the coordinate
plane into two regionsplane into two regions
Find related equationex) y < 5x + 6, y = 5x + 6
Graphing InequalitiesGraphing Inequalities
Graph the boundary
Determine if boundary is dashed/solid
(< or > ----->, ≤ or ≥ → )
Plug in any pt not on boundary (0, 0) is simplest if available
DO NOT SHADE THIS REGION!!
SHADE OTHER REGION!
Shade the region where the test point
resides
TRUE FALSE
SetsBoundary
GraphEx 1
GraphEx 2
GraphEx 3
Math Composer 1. 1. 5http: / /www.mathcomposer. com
Ex 4
Graph | 2 | 3.y x Math Composer 1. 1. 5http: / / www.mathcomposer. com
Education The SAT has two parts. One tutoring company advertises that it specializes in helping students who have a combined score on the SAT that is 900 or less.
Write an inequality to describe the combined scores of students who are prospective tutoring clients.
Does a student with a verbal score of 480 and a math score of 410 fit the tutoring company’s guidelines?
Ex 5
Education (Graph)Education (Graph)
Class Trip Two social studies classes are going on a field trip. The teachers have asked for parent volunteers to also go on the trip as chaperones. However, there is only enough seating for 60 people on the bus. a. Write an inequality to describe the number of
students and chaperones that can ride on the bus.
b. Graph the inequality.
c. Can 45 students and 10 chaperones go on the trip?
Ex 6
Class Trip (Graph)Class Trip (Graph)Math Composer 1. 1. 5http: / /www. mathcomposer. com
HomeworkHomework
Text p. 98 (13-27 odd)Text p. 98 (13-27 odd)
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