anonymous
  • anonymous
Determine the type of boundary line and shading for the graph of the inequality -4x - y less than or greater to -2 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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
so dashed line a or c
anonymous
  • anonymous
y ≥ 2 - 4x
anonymous
  • anonymous
the orgin is (0,0) ?

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More answers

butterflydreamer
  • butterflydreamer
yesss, origin is always (0,0). :) To check if the side where the origin lies is shaded or not, sub in (0,0) into your equation and see if it is a solution or not.
anonymous
  • anonymous
0 ≥ 2- 0 ??????
butterflydreamer
  • butterflydreamer
yepp, exactly like that. So y ≥ 2 - 4x, and we plugged in (0,0) ... so 0 ≥ 2 - 0 0 ≥ 2 Is this true or false?
anonymous
  • anonymous
false!
butterflydreamer
  • butterflydreamer
yeep :) And what happens if it is false? Do we shade the side with the origin or the other side?
anonymous
  • anonymous
Other side?
anonymous
  • anonymous
so c!
butterflydreamer
  • butterflydreamer
yyeeesss! ^_^!
butterflydreamer
  • butterflydreamer
WAIT
anonymous
  • anonymous
God you make it so easy. I appreciate the help very much!
butterflydreamer
  • butterflydreamer
y ≥ 2 - 4x look at your sign :O
anonymous
  • anonymous
wot o:
butterflydreamer
  • butterflydreamer
≥ means shaded line!
butterflydreamer
  • butterflydreamer
*solid line
anonymous
  • anonymous
you are right.
anonymous
  • anonymous
so d!
butterflydreamer
  • butterflydreamer
xD now i think you're a bit confused.. okay so first we know that the sign is ≥ meaning a SOLID line Then we tested (0,0) and found that it was false when we subbed it in and that hte origin is NOT included so it must be the other side
anonymous
  • anonymous
oh i thought d was not including. My bad D:
anonymous
  • anonymous
B is d answer :) ?
butterflydreamer
  • butterflydreamer
it's aaalll good. Yes "b" is correct :)
anonymous
  • anonymous
whew. - Virtual high five -
anonymous
  • anonymous
Thank you, Do you know anything about ordered pairs + inequalities?
butterflydreamer
  • butterflydreamer
*high five* ^_^! hmmm maybe? I could take a look LOL
anonymous
  • anonymous
Which of the following ordered pairs is not a solution to the inequality y less than or greater to -3x - 5? Choose one answer. a. (-4, 0) b. (0, 0) c. (-3, 0) d. (-2, 0)
butterflydreamer
  • butterflydreamer
oh this is basically what we did before.. But this time instead of plugging in (0,0)... we plug in the other coordinates.
anonymous
  • anonymous
And if it is false then that is the answer?
butterflydreamer
  • butterflydreamer
yepp.. but quick question. when you say "less than or greater to" which symbol are you referring to? like... \[\le \ge > < ? \]
anonymous
  • anonymous
http://gyazo.com/72e8703d46478d64907d0d6baa4c46a0
anonymous
  • anonymous
i just copy and paste this. thats how it came out haha
butterflydreamer
  • butterflydreamer
ohh okaaayy! that sign is called less than or equal to LOL
anonymous
  • anonymous
I know i looked at it after and was wondering how to write what i copied and pasted down on paper.
anonymous
  • anonymous
Like copy+paste pls :c
butterflydreamer
  • butterflydreamer
haha i read it and just stared at it like O.O ?? anywaaays, have you solved the problem yet? :)
anonymous
  • anonymous
Slowly am o:
butterflydreamer
  • butterflydreamer
okey dokeyyy
anonymous
  • anonymous
b?
butterflydreamer
  • butterflydreamer
that's corrrect! :D
anonymous
  • anonymous
yey :3
butterflydreamer
  • butterflydreamer
LOL see, it isn't as hard as you think :) Good job
anonymous
  • anonymous
Which of the following ordered pairs is a solution to the inequality y less than or greater to -2x + 8? Choose one answer. a. (0, -4) b. (5, -1) c. (7, 0) d. (9, 1)
anonymous
  • anonymous
You are great help <3
anonymous
  • anonymous
This is the last one
anonymous
  • anonymous
y ≤ -2x + 8
anonymous
  • anonymous
so just plug it all in
butterflydreamer
  • butterflydreamer
yyeep
anonymous
  • anonymous
-1 ≤ -10 + 8 -4 ≤ 8 0 ≤ -14 + 8 1 ≤ -18 + 8
anonymous
  • anonymous
those are the 4 i got
anonymous
  • anonymous
wait i just realised that it is b.......
anonymous
  • anonymous
jesus
anonymous
  • anonymous
@butterflydreamer
butterflydreamer
  • butterflydreamer
remember we're trying to find one which is TRUE this time because we want a point which is a solution. so, y ≤ -2x + 8 a. (0, -4) -4 ≤ 0 + 8 -4≤8 b. (5, -1) -1 ≤ -2(5) + 8 -1≤ -10 + 8 -1 ≤ -2 c. (7, 0) 0≤ -2(7) + 8 0 ≤ -14 + 8 0 ≤ -6 d. (9, 1) 1≤ -2(9) + 8 1 ≤ -18 + 8 1 ≤ -10 Which one is true? This will be your solution!
anonymous
  • anonymous
b!
butterflydreamer
  • butterflydreamer
is -1 less than or equal to -2?
anonymous
  • anonymous
a my bad. i mixed my questions up on my paper haha
anonymous
  • anonymous
i wrote them in order and mixed up a and b
butterflydreamer
  • butterflydreamer
yeesss a is coorrectt
anonymous
  • anonymous
That is all i had left for my review thank you !
butterflydreamer
  • butterflydreamer
wooohhoooo~ No problem ^_^!
anonymous
  • anonymous
One more question though, do you play any video games o:?
butterflydreamer
  • butterflydreamer
hahaha no i don't xD

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