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anonymous
 one year ago
Solve the inequality. Give the solution set in interval form.
\[frac{ 4 }{ 3 }x  \frac{ 15 }{ 6 } < 3x\]
anonymous
 one year ago
Solve the inequality. Give the solution set in interval form. \[frac{ 4 }{ 3 }x  \frac{ 15 }{ 6 } < 3x\]

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 4 }{ 3 }x\frac{ 15 }{ 6 } < 3x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0multiply both sides by 6 first to remove annoying fractions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry, how exactly do I multiply fractions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in this case "multiply" really means cancel, since the whole point of multiplying by 6 is to get rid of the denominators

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for example \[6\times \frac{4}{3}x=2\times 4x=8x\]the denominator is now gone

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and of course \[\frac{15}{6}\times 6=15\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the denominator gets canceled and the numerator becomes a whole number by itself?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0long and the short of it is you should end up with \[8x15\leq 18x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since the least common multiply of 6 and 3 is 6, if you multiply both sides by 6 there will be no denominators left

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm a little confused...I thought the lcm was 3...can you explain that to me? I haven't been in a math class for the last two years so my knowledge on the basics are really weak right now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do I cancel the denominator out in the other fraction as well?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes you want to get rid of both denominators 3 and 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0btw the least common multiple is not the greatest common factor for example the least common multiply of 4 and 6 is 12 their greatest common factor is 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so if for example you had \[\frac{1}{4}x\frac{5}{6}<3\]you would multiply both sides by 12 go get\[3x10<36\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sooooo confused >.< I understand that you're multiplying both denominators by the LCM now but I don't see how you got 3x10<30 ... i tried to understand how you got the answer for the first one as well but it isn't computing with me...is there any other way to explain it? I'm sorry..my comprehension is a little slow
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