anonymous
  • anonymous
solve and graph the following inequality: 3x+11>26
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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NotTim
  • NotTim
Aww. Advanced Functions. NotTim's Weakness.
jim_thompson5910
  • jim_thompson5910
3x+11 > 26 3x > 26-11 3x > 15 x > 15/3 x > 5 So the solution is x > 5 To graph this, draw out a number line and draw an open circle at 5. Then shade to the right of that open circle.
NotTim
  • NotTim
Aw. I was gunna say like try it as if > was a =, but I know that's wrong now...

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anonymous
  • anonymous
Thank you so much!!! That really helped i just always forget the formula!
jim_thompson5910
  • jim_thompson5910
You're welcome
NotTim
  • NotTim
wait...jim...you got the time to teach me how you did this?
jim_thompson5910
  • jim_thompson5910
The idea is to solve this as if you would any equation. So if you can solve 3x+11 = 26, then you can solve 3x+11 > 26 Just think of the ">" as a "=". The sign will only change if you happen to multiply or divide both sides by a negative number.
jim_thompson5910
  • jim_thompson5910
Does that make sense?
anonymous
  • anonymous
how would i graph it if the sign was the greater to or equal to sign? kidn of like > -
jim_thompson5910
  • jim_thompson5910
Instead of an open circle, use a closed circle.
anonymous
  • anonymous
except the line would be directly underneath the greater to sin
anonymous
  • anonymous
|dw:1332643712237:dw|
anonymous
  • anonymous
so it would be like...|dw:1332643784120:dw|
jim_thompson5910
  • jim_thompson5910
Yes and now shade to the right of the closed circle (since the sign was a greater than or equal to sign)
anonymous
  • anonymous
ok so: 3x+18>36 (with the line under the greater than sign) would equal x>6(again, with the line under the greater than sign)! and the graph would look like |dw:1332644043109:dw| but what would number would the circle represent? Like the last one represented 5?
jim_thompson5910
  • jim_thompson5910
Yes the solution to \[\Large 3x+18 \ge 36\] is \[\Large x \ge 6\] which means you plot a closed circle at 6 and shade to the right.
anonymous
  • anonymous
YES!!! i got it right!! Thank you so much you are a great teacher!
jim_thompson5910
  • jim_thompson5910
You're welcome. Glad I could be of help to you.
jim_thompson5910
  • jim_thompson5910
And congrats on getting it right
anonymous
  • anonymous
thank you!

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