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Lecture 7

MAT 114 Lecture 7: Section+5.1+


Department
Mathematics
Course Code
MAT 114
Professor
Lisa Holden
Lecture
7

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Section 5.1
Graphing Linear Inequalities
examples
314yt5E15
3144 I10
314 yE10
NOTE Both sides of an
inequality can be
multiplied by anegative
constant of the
inequality is REVERSEDLI

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Sketching the Region Represented
by aLinear Inequality in Two
Varibles
1Sketch the straight line
obtained by replacing the
given inequality with an
equality
2Choose atest point not
on the line
3If the test point satisifies
the inequality then the
set of solutions is the
entire region on the same
side of the line as the test
point Otherwise it is the

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region on the other side of
the line In either caseshade
the side that does Notcontain
the solutions leaving the
solution set unshaded
EXCERISE 8
Sketch the region that corresponds
to the given inequality Y33
43x
line
online
two parts 10,0 1,3
test point 1,01
0I3l
0I3false
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