anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
so it is less than which means dashed?
DanJS
  • DanJS
put in the form y > .... first
anonymous
  • anonymous
oh alright

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DanJS
  • DanJS
y > -2x + 6
anonymous
  • anonymous
dashed still?
DanJS
  • DanJS
yes, \[\gt~or ~\lt~~dashed\] \[\ge~or~\le~~solid line\]
DanJS
  • DanJS
just remember it can equal the line, so solid line means include those points on the line
anonymous
  • anonymous
oh alright
DanJS
  • DanJS
now you can just pick 2 points and connect them, x=0 and x=1
DanJS
  • DanJS
When x=0, y = 6, point (x,y) = (0,6) When X=1, y = -2 + 6 = 4 . point (x,y) = (1,4)
anonymous
  • anonymous
this does not include the origin correct?
DanJS
  • DanJS
|dw:1437601290059:dw|
anonymous
  • anonymous
http://gyazo.com/9ad5ae8bf49066d458c9301d46619cf4
DanJS
  • DanJS
Since it is "Less than" you shade underneath the line...
DanJS
  • DanJS
Greater than, you would shade above
anonymous
  • anonymous
so above
anonymous
  • anonymous
you said earlier the equation was different. i showed it in my link
DanJS
  • DanJS
yeah i just noticed i mistyped,... right y > -2x + 6 , greater than , shade above the line
anonymous
  • anonymous
are you sure its dashed line for greater than or less than?
anonymous
  • anonymous
i would think it would be solid in that case
DanJS
  • DanJS
yes greater than or less than, dashed line, it doesnt include the line,
anonymous
  • anonymous
so the answer to this one was c
DanJS
  • DanJS
yes, another quick thing you could do for these types probs, is simply test the origin
DanJS
  • DanJS
x = 0, y = 0 -2*0 - 0 < - 6 0 < 6 False, the origin is not part of the solution/shaded area
DanJS
  • DanJS
and it is dotted because of > or <
anonymous
  • anonymous
could i check another equation?
DanJS
  • DanJS
sure, we can do it the quick way
anonymous
  • anonymous
just wanna make sure im doing it right i got the answer already i think
anonymous
  • anonymous
http://gyazo.com/f91fa996a6ecec7fd818376c3715b8ec
anonymous
  • anonymous
a. 2x - 5y -10 b. x - y > 3 c. 2x - y < -4 d. x + 2y -8
anonymous
  • anonymous
i chose d
DanJS
  • DanJS
what is the sign in d
anonymous
  • anonymous
greater than or equal to
DanJS
  • DanJS
ok, that part is right, it is a solid line and shaded above > or = to
DanJS
  • DanJS
now test a couple points on the line... When x =0, y=-4 on the graph, test in answer d
DanJS
  • DanJS
0 + 2y = -8 y = -4 , so far so good, now test one more point
DanJS
  • DanJS
When y=0, x = -8 on the graph.. x + 2(0) = -8 True also, choice d works
anonymous
  • anonymous
Alright thanks for the help
DanJS
  • DanJS
no prob, good luck

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