Question

Determine the type of boundary line and shading for the graph of the inequality -2x - y < -6
Choose one answer.
a. Dashed line with shading on the side that includes the origin.
b. Solid line with shading on the side that does not include the origin.
c. Dashed line with shading on the side that does not include the origin.
d. Solid line with shading on the side that includes the origin.

Answer 1

so it is less than which means dashed?

Answer 2

put in the form y > .... first

Answer 3

oh alright

Answer 4

y > -2x + 6

Answer 5

dashed still?

Answer 6

yes,

\[\gt~or ~\lt~~dashed\]

\[\ge~or~\le~~solid line\]

Answer 7

just remember it can equal the line, so solid line means include those points on the line

Answer 8

oh alright

Answer 9

now you can just pick 2 points and connect them, x=0 and x=1

Answer 10

When x=0, y = 6, point (x,y) = (0,6)

When X=1, y = -2 + 6 = 4 . point (x,y) = (1,4)

Answer 11

this does not include the origin
correct?

Answer 12

http://gyazo.com/9ad5ae8bf49066d458c9301d46619cf4

Answer 13

Since it is "Less than" you shade underneath the line...

Answer 14

Greater than, you would shade above

Answer 15

so above

Answer 16

you said earlier the equation was different. i showed it in my link

Answer 17

yeah i just noticed i mistyped,... right y > -2x + 6 , greater than , shade above the line

Answer 18

are you sure its dashed line for greater than or less than?

Answer 19

i would think it would be solid in that case

Answer 20

yes

greater than or less than, dashed line, it doesnt include the line,

Answer 21

so the answer to this one was c

Answer 22

yes, another quick thing you could do for these types probs, is simply test the origin

Answer 23

x = 0, y = 0

-2*0 - 0 < - 6

0 < 6 False, the origin is not part of the solution/shaded area

Answer 24

and it is dotted because of > or <

Answer 25

could i check another equation?

Answer 26

sure, we can do it the quick way

Answer 27

just wanna make sure im doing it right i got the answer already i think

Answer 28

http://gyazo.com/f91fa996a6ecec7fd818376c3715b8ec

Answer 29

a. 2x - 5y -10
b. x - y > 3
c. 2x - y < -4
d. x + 2y -8

Answer 30

i chose d

Answer 31

what is the sign in d

Answer 32

greater than or equal to

Answer 33

ok, that part is right, it is a solid line and shaded above > or = to

Answer 34

now test a couple points on the line...

When x =0, y=-4 on the graph, test in answer d

Answer 35

0 + 2y = -8

y = -4 , so far so good, now test one more point

Answer 36

When y=0, x = -8 on the graph..

x + 2(0) = -8

True also,

choice d works

Answer 37

Alright
thanks for the help

Answer 38

no prob, good luck