Example 1 Graph the equation y = -2x +6. %3D Find the area of the triangle bounded by the given line, the x-axis, and the y-axis. Shade this shape. Write three inequalities to represent the shaded region. A.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 81RE: Geometry Write a system of inequalities to describe the region of a rectangle with vertices at...
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Example 1
a.
Graph the equation y = -2x +6.
Find the area of the triangle bounded by
the given line, the x-axis, and the y-axis.
Shade this shape.
Write three inequalities to represent the
shaded region.
Transcribed Image Text:Example 1 a. Graph the equation y = -2x +6. Find the area of the triangle bounded by the given line, the x-axis, and the y-axis. Shade this shape. Write three inequalities to represent the shaded region.
Opening Exercise
Graph the following system of inequalities:
ys-2
x> 3
a. Is (5,-3) a solution? Explain.
yes
b. Is (4,-2) a solution? Explain.
C. Is (3,-5) a solution? Explain.
d.
The region is the intersection of how many half-planes? Explain how you know.
Transcribed Image Text:Opening Exercise Graph the following system of inequalities: ys-2 x> 3 a. Is (5,-3) a solution? Explain. yes b. Is (4,-2) a solution? Explain. C. Is (3,-5) a solution? Explain. d. The region is the intersection of how many half-planes? Explain how you know.
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