ali2x2
  • ali2x2
Which of the following apply to the graph on the inequality? Please mark all choices that apply. x > 7 There is a colored dot at 7. There is an open dot at 7. Shading goes to the left. Shading goes to the right.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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butterflydreamer
  • butterflydreamer
maybe you should start off by graphing first :) So, do you know how to graph x = 7 ?
ali2x2
  • ali2x2
Im really new to graphing Can you show me an example? :)
ali2x2
  • ali2x2
Hello? Butterflydreamer are you there at the moment?

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ali2x2
  • ali2x2
Im really new to graphing Can you show me an example? :)
butterflydreamer
  • butterflydreamer
sureeee. So if the question wanted you to sketch x > 3. The first thing that you would want to do is to sketch x = 3 x = 3 will look something like this: |dw:1435922992502:dw| The open circle means that the number 3 is not included which is TRUE because we have "x>3" which means x is greater than 3 and not equal to three :) Similarly, if we graph x>3 on a number plane, it will look like: |dw:1435923238945:dw|
ali2x2
  • ali2x2
Hmm ok so i have used the number line and i understand the shaded region Ok so i have one answer to my multiple choice question i have there is an open dot at 7. Is that correct?
ali2x2
  • ali2x2
And since x is bigger than 7 does that mean that the next answer is that the shading goes to the right?
UsukiDoll
  • UsukiDoll
if you have a > or < we have an open dot if you have a \[\geq \leq\] we have a closed dot.
UsukiDoll
  • UsukiDoll
yes that's right. good job :D
ali2x2
  • ali2x2
@butterflydreamer So both of my answers are correct?
butterflydreamer
  • butterflydreamer
yeeepp ^_^
ali2x2
  • ali2x2
Yaaaaaa Thank you @butterflydreamer :D You too @usukidoll :D
UsukiDoll
  • UsukiDoll
tip: we can shade based on the tail of the sign |dw:1435923724903:dw|
ali2x2
  • ali2x2
But what does colored dot mean? ._.
UsukiDoll
  • UsukiDoll
oops forgot my dot |dw:1435923785771:dw|
UsukiDoll
  • UsukiDoll
the direction... you are shading right at the tail of the sign... that's why I circled the tail at the > sign similarly if we have the < sign... based on the tail , we are shading left.
UsukiDoll
  • UsukiDoll
I remembered doing this wrong back in middle school and that lingered to high school because she mentioned shade the region according to pac man's mouth... but it turns out to be opposite of that
ali2x2
  • ali2x2
Huh so its like reverse psychology
UsukiDoll
  • UsukiDoll
yup stuck with me since
UsukiDoll
  • UsukiDoll
|dw:1435923932894:dw|
ali2x2
  • ali2x2
Ok that's great to hear someone is available would you mind another question? Ok ill save that to the computer real quick
UsukiDoll
  • UsukiDoll
it depends on the question as I have not done some of these topics since over 5 years ago.
ali2x2
  • ali2x2
Ok
ali2x2
  • ali2x2
Which of the following numbers would be in the solution set of this inequality? Mark all that apply. ≤ -2 -12 -13 0 -14
ali2x2
  • ali2x2
wait the image didnt load
UsukiDoll
  • UsukiDoll
maybe we can let x be whatever the choices are and then plug them in T_T! Gawd I'm not confident in this x.x
butterflydreamer
  • butterflydreamer
firstly, you want to get rid of the fraction :) To do this multiply both sides by 2
ali2x2
  • ali2x2
Neither am i >_> You think its easy being in online school? Its a nightmare O_O
ali2x2
  • ali2x2
But what will i multiply x with i wont know what i will get?
UsukiDoll
  • UsukiDoll
I've read about online school being a nightmare... I think online school has recently became popular as I went to traditional school through all my years.
UsukiDoll
  • UsukiDoll
well as @butterflydreamer mentioned we can multiply both sides by 2 to get rid of the fraction
ali2x2
  • ali2x2
|dw:1435924292268:dw|
ali2x2
  • ali2x2
SOO SORRY I PUT IN THE WRONG DRAWING DX
UsukiDoll
  • UsukiDoll
draw a ... jsdlafjdsalk it's ok XD!
ali2x2
  • ali2x2
xD
butterflydreamer
  • butterflydreamer
jookkkesss LOL Okay, multiply both sides by 6 to get rid of the fraction :)
ali2x2
  • ali2x2
@butterflydreamer But x is unknown what will i do?
UsukiDoll
  • UsukiDoll
maybe you can plug in one of those choices you're given for x ?
ali2x2
  • ali2x2
Really i dont understand what you just said i cant because those are the answers not what i am given to use right?
UsukiDoll
  • UsukiDoll
Your question did say which of the following numbers would be the solution to the inequality .
butterflydreamer
  • butterflydreamer
|dw:1435924547669:dw| now what does 2 times 6 equal to?
UsukiDoll
  • UsukiDoll
so I'm thinking since you have those numbers x = 0,-12,-13,-14 plug one of them into the equation... to see if the inequality holds true or not.
ali2x2
  • ali2x2
Hmm ok this is really a hard one XD 12 :P
ali2x2
  • ali2x2
Wait -12 correct because thats only one of the following answers im given.
butterflydreamer
  • butterflydreamer
.... wait is your question: |dw:1435924733751:dw|
ali2x2
  • ali2x2
Yet again i fail to write the correct question. Yes it is that @butterflydreamer
UsukiDoll
  • UsukiDoll
well we can skip steps since we already got rid of the 6 and solved the right hand side.
UsukiDoll
  • UsukiDoll
|dw:1435924844795:dw|
butterflydreamer
  • butterflydreamer
xD alright... okay so now we multiply both sides by 6 |dw:1435924809593:dw|
UsukiDoll
  • UsukiDoll
ok now given x = 0,-12,-13,-14 which of these values will work.
ali2x2
  • ali2x2
Thats you guys your really helping me bye
UsukiDoll
  • UsukiDoll
we are looking for less than or equal to because of that symbol. so any x less than or any x equal will work
butterflydreamer
  • butterflydreamer
then remember that: |dw:1435924899098:dw|
butterflydreamer
  • butterflydreamer
*is less than or equal to -12

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