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anonymous
 one year ago
I have some math problems involving that you have to solve an inequality in interval notations and I don't know how to do it.
anonymous
 one year ago
I have some math problems involving that you have to solve an inequality in interval notations and I don't know how to do it.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438573641556:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Rule: \[\Large x > k\] breaks down into \[\Large x > k \ \ \text{or} \ \ x < k\] where k is some positive number

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so in your case, x2 > 13 turns into x2 > 13 or x2 < 13

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't get it. What would my answer be?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm assuming you added 2 to both sides of x2 > 13, right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438574103833:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you have the right idea dw:1438574120370:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438574134671:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so `x2 > 13` turns into `x > 15`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does x2 < 13 turn into when you solve for x ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1not just 11, but something else is it x = 11 ? x < 11 ? x > 11 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, `x2 < 13` turns into `x < 11`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x2 > 13 turns into x2 > 13 or x2 < 13 and then that becomes x > 15 or x < 11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answer is x is greater than 15 but less than 11??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would I write that?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in interval notation you mean?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1let's just focus on x > 15 for now

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1any ideas of what the interval notation of x > 15 is ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i really don't know.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x > 15 means x is some number larger than 15 so if we describe an interval, we would write (15, infinity) the parenthesis say "don't include the enpoints"

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438574679944:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438574694799:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i get that part what about the 11?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you tell me, what does x < 11 translate to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438574720200:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you need a negative before the infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438574761239:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large x > 15 \rightarrow (15, \infty)\] \[\Large x < 11 \rightarrow (\infty, 11)\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1The "or" in the solution `x > 15 or x < 11` means we will have a union symbol U Which is why this is the final answer \[\Large (\infty, 11) \cup (15, \infty)\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oops I meant to write 11 instead of 11

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so it should be \[\Large (\infty, 11) \cup (15, \infty)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you very much for all of your help. Im probably going to struggle with the rest of these inequality problems. That seemed like an easy one compared to the others i have

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1with more practice, the rest should come easier too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can I message you for more help??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the step by step process really helped!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm glad it helped and yeah you can ask a few more questions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438575156359:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0to get rid of the 3, do I multiply it by 8?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1first you need to use the rule x < k becomes k < x < k

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1where again, k is some positive number

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438575356447:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1notice dw:1438575401382:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what would be the next step?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438575499181:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do the opposite which is multiply

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, multiply ALL sides by 3 dw:1438575563784:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438575578883:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we are then left with this \[\Large 36 \le x+8 \le 36\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay that helped. and next we have to get x by itself

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes so you have to somehow undo that +8

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1btw, we are following PEMDAS in reverse when it comes to isolating variables

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so subtract 8 from each side?dw:1438575726830:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1correct, which ends you up with what?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438575822811:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you nailed it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x is finally isolated so you're done

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438576160100:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I tried putting in my answer all types of ways, but it still says it's incorrect.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438576344123:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438576379769:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we include both endpoints so the interval notation would be [44, 28]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the square brackets say "include endpoints

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438576439943:dw