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)