ali2x2
  • ali2x2
Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. x/6 ≥ 3 In your own words: - Tell how to solve inequalities. Be specific and complete. - Tell how to graph inequalities. Be specific and complete. Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. x/6 + 4 ≥ 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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ali2x2
  • ali2x2
Hello?
Astrophysics
  • Astrophysics
Hi, well what have you tried?
Astrophysics
  • Astrophysics
\[\frac{ x }{ 6 } \ge 3\] this should be an easy one, how would you solve for x?

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ali2x2
  • ali2x2
Im not smart when it comes to this :/ @Astrophysics
Astrophysics
  • Astrophysics
That's ok, just try your best I don't judge :)
Astrophysics
  • Astrophysics
How would you go about isolating x in your question, it's just like normal algebra with a funny looking sign, that has a few extra rules, such as when you divide or multiply by negative, the sign flips :P
ali2x2
  • ali2x2
well i thought placeing 6 on the so it would be 6/6 = 1 but the 3 wins and that wouldnt be right
ali2x2
  • ali2x2
:P
Astrophysics
  • Astrophysics
Hey do you know how to use the draw tool?
ali2x2
  • ali2x2
MHm
Astrophysics
  • Astrophysics
|dw:1437028552079:dw| just show what you mean on here
Astrophysics
  • Astrophysics
You can click on the drawing on top right, there should be a pencil
ali2x2
  • ali2x2
|dw:1437028576910:dw|
ali2x2
  • ali2x2
|dw:1437028595529:dw|
ali2x2
  • ali2x2
|dw:1437028608859:dw|
ali2x2
  • ali2x2
THats what i ment but it is wrong
Astrophysics
  • Astrophysics
Mhm, well when doing algebra, you want to sort of balance things out, so it equals. What ever you do on one side you must always do to the other, and a really cool thing about algebra is, to do such things you just do the opposite operation of what already exists.
ali2x2
  • ali2x2
Amazing :P
Astrophysics
  • Astrophysics
|dw:1437028694384:dw|
Astrophysics
  • Astrophysics
See how that works?
ali2x2
  • ali2x2
Yes
Astrophysics
  • Astrophysics
Since I multiplied the left side by 6 so I could get x alone, I also have to do the same on the right to balance it out.
ali2x2
  • ali2x2
6 cancel eachother out
ali2x2
  • ali2x2
then multiply 6 x 3
Astrophysics
  • Astrophysics
Yes, what you do one side, you must do to the other, remember that :)
ali2x2
  • ali2x2
Ok :)
Astrophysics
  • Astrophysics
Now solutions to the problem could be any integer that is greater than or equal to 18.
ali2x2
  • ali2x2
But how do i find that
Astrophysics
  • Astrophysics
So you could even put \[18 \ge 18\]
ali2x2
  • ali2x2
But wouldnt that be 18 = 18
ali2x2
  • ali2x2
?
Astrophysics
  • Astrophysics
Look at your problem, notice the symbol |dw:1437028879538:dw|
Astrophysics
  • Astrophysics
The little line under the greater than means equal
ali2x2
  • ali2x2
XD oh i forgot.
Astrophysics
  • Astrophysics
So we say greater than or equal to
Astrophysics
  • Astrophysics
So you could say your solution set is [18,19,20] :)
ali2x2
  • ali2x2
Ok
ali2x2
  • ali2x2
Wait how did i get 18 19 and 20 i just add them there?
Astrophysics
  • Astrophysics
No, that is just a solution set as your question asks.
ali2x2
  • ali2x2
Oh
Astrophysics
  • Astrophysics
You could put any 3 numbers greater/ equal to 18...
ali2x2
  • ali2x2
:P
Astrophysics
  • Astrophysics
Now, how would you graph that?
ali2x2
  • ali2x2
Can you stay here and see if i can get the next 2 correct?
ali2x2
  • ali2x2
Graph mt answer?
Astrophysics
  • Astrophysics
|dw:1437028983964:dw| here I made a graph for you, now graph the expression \[x \ge 18\]
Astrophysics
  • Astrophysics
Yes, you must read your question carefully, it asks you to solve the inequality, get a solution set and graph.
ali2x2
  • ali2x2
THis is confusing O.o ??? I have no idea :(
Astrophysics
  • Astrophysics
Ok, if I asked you to graph x = 18, how would you do that?
ali2x2
  • ali2x2
oh
ali2x2
  • ali2x2
|dw:1437029208610:dw| I DONT KNOWWWwwww
ali2x2
  • ali2x2
:(
ali2x2
  • ali2x2
I really wanna learn this
Astrophysics
  • Astrophysics
No, that's not how you graph, compare it with mine, but x = 18 is just a vertical line. |dw:1437029309947:dw|
Astrophysics
  • Astrophysics
Now you want greater than equal to, notice I made it a solid line for that purpose, when you have greater than/ less than with equal you make the line solid, when it's just greater/ less than than it's a dotted line.
Astrophysics
  • Astrophysics
So we just shade in the area |dw:1437029385587:dw| that is \[x \ge 18\]
Astrophysics
  • Astrophysics
To the right of the axis, as it's positive.
ali2x2
  • ali2x2
so if the "alligator" Is facing left the shading goes right
Astrophysics
  • Astrophysics
Yes, but you should not think like that, you should know it means greater than.
ali2x2
  • ali2x2
Ok

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