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anonymous
 one year ago
Solve the following inequality. write the solution set using interval notation.
anonymous
 one year ago
Solve the following inequality. write the solution set using interval notation.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats the question and how the answer must be.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Multiply both sides by 40 to clear out the fractions \[\Large \frac{6x+2}{8}\frac{2x8}{5} \le 4\] \[\Large 40*\left(\frac{6x+2}{8}\frac{2x8}{5}\right) \le 40*(4)\] \[\Large 40*\left(\frac{6x+2}{8}\right)+40*\left(\frac{2x8}{5}\right) \le 40*(4)\] \[\Large 5*\left(6x+2\right)8*\left(2x8\right) \le 160\] Do you see how to finish up?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0why is it 40? and i would distribute the 5 out into the 6X+2 then the 8 into the 2x8 and keep going until i can take the left side and either divide the right by it or the left by the right.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1because 8*5 = 40 is the LCD

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if you multiply both sides by the LCD, then you clear out the fractions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhhhhhhhhh ok. am i correct in the final steps?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1` i would distribute the 5 out into the 6X+2 then the 8 into the 2x8` correct `keep going until i can take the left side and either divide the right by it or the left by the right` these steps seem a bit vague to me

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if the number on the left of the less than or equal to sign is less than 160 divide 160 by it. if it is more than 160 than divide that number by 160?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1when you distributed, what did you get?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the 64 should be +64

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1since 8 times 8 = 64

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0didnt change the sign

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1after distributing you should get `30x+1016x+64≤160` which simplifies to `14x+74≤160` after you combine like terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i messed up somewhere

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you lost a sign somewhere, it should be `14x≤234`

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah i put it in my calculator and forgot the negative!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1leave it as a fraction and reduce as much as possible

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it a fraction? i got a decimal when i divided

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1234/14 can be reduced to ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hint: find the GCF of 234 and 14

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1divide each part of the fraction by 2 234/2 = 117 14/2 = 7 so 234/14 = 117/7

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what would the solution set be?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so 234/14 = 117/7

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in the end, the solution would be \[\Large x \le \frac{117}{7}\] what is this in interval notation?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1draw a number line with 117/7 on it dw:1443394703025:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the inequality \(\LARGE x \le \frac{117}{7}\) means that we shade to the left of 117/7 on the number line dw:1443394759997:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the interval would start at infinity, then stop at 117/7 giving us \[\Large \left. (\infty, \frac{117}{7}\right]\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443394823713:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443394850880:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443394878344:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it a ] because 117/7 is included?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443394904462:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`is it a ] because 117/7 is included?` correct

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and there is a closed circle at 117/7 on the number line to tell readers to include the endpoint dw:1443394959903:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so that should be my answer than. Thanks! i understand it all now. and i know to use the inf.

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