Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y < -6

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin

Answer 1

well uhh mhmmm google? haha

Answer 2

alreaddy tried nuthin

Answer 3

god im trying to remeber what to do give me a sec

Answer 4

is this algebra

Answer 5

ya

Answer 6

my answer is

Answer 7

use myalgebra.com

Answer 8

well my calculations say that the positive and negative combine and make something good and its not working lol:)

Answer 9

here http://ca.answers.yahoo.com/question/index?qid=20110819172957AAnjkJC

Answer 10

^thts not even the same question

Answer 11

yea jc

Answer 12

oh yea haha sorry

Answer 13

its ok

Answer 14

XD

Answer 15

well thanks for tryin to help me guys

Answer 16

hold on

Answer 17

always

Answer 18

ok

Answer 19

thanks for the medal alex

Answer 20

np:)

Answer 21

@TuringTest

Answer 22

solve for y

Answer 23

@Kainui

Answer 24

idk gotta ask ashley

Answer 25

what do you get upon solving for y?

Answer 26

#Ashley3

Answer 27

@Ashely3

Answer 28

y>-4x+6

Answer 29

Exactly right Ashely.

Answer 30

yay

Answer 31

good
now, y=(whatever line) is a set of all points on that line
\(y\ge(some~~line)\) means "y is greater than or equal to that line" so that would be all the points above the line and including the line
that is represented by a whole line (to show that the y= part is included) and shading above (because of the y>... part)

Answer 32

\[y>(some~~line)\]means the set of all points above, but \(not\) including the line itself
that is represented by a dotted line (to show the absence of the y= part) and shading above (to show the y> part)

Answer 33

http://www.google.com/imgres?num=10&um=1&hl=en&biw=1366&bih=667&tbm=isch&tbnid=32PrI4hTIBOdAM:&imgrefurl=http://thewhitedsepulchre.blogspot.com/2012_03_25_archive.html&docid=mrvXIKRNRP2sKM&imgurl=http://1.bp.blogspot.com/-qoMp8IW2mTk/T3cD1yE-irI/AAAAAAAAFIY/Pasfyg35jCw/s640/great%252Bjob.jpg&w=479&h=304&ei=RIkuUImWMsHzyAHC6YGABg&zoom=1&iact=hc&vpx=974&vpy=341&dur=554&hovh=179&hovw=282&tx=132&ty=113&sig=103556154179492935245&sqi=2&page=1&tbnh=119&tbnw=187&start=0&ndsp=21&ved=1t:429,r:12,s:0,i:176

Answer 34

lol jc

Answer 35

the same argument applies for \(y\le(whatever)\) and \(y<(whatever)\) only the shading would be below the line instead.

Answer 36

based on all that, which is your answer?

Answer 37

"dotted"="dashed"

Answer 38

dashed does not included the origin

Answer 39

and why do you think the origin is not included?
for the origin to be included, the point y=0, x=0 must satisfy the inequality
does it?

Answer 40

you are correct, I'm just pressing you for a deeper understanding

Answer 41

plug in y=0, x=0
and what do you get?
y>-4x+6
0>-4(0)+6
0>6
which is not true, hence the point (0,0) (also known as the origin) is not a solution

good job :)

Answer 42

thanks nd thank u

Answer 43

welcome!

Answer 44

xxxD