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anonymous
 one year ago
Quick questions about this inequality in the comment section. Will give medal
anonymous
 one year ago
Quick questions about this inequality in the comment section. Will give medal

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 12 }{ 11 }v \le 10\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since the fraction is being multiplied by V you would divide both sides right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would be 10 divided by the reciprocal of 12/11?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And since your diving by a negative would the sign flip?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2you're very close when you divide by a fraction, you MULTIPLY by the reciprocal, so you would multiply 10 by (11/12) other than that, spot on!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You would keep the negative sign though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is the answer \[v \ge \frac{ 55 }{ 6 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im sorry negative 55/6?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2actually, wait, yea, it should be negative 55/6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What always confused is me whether or not to keep the negative when multiplying the reciprocal. I thought that meant changing the sign

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2nope, reciprocal just means flip the denominator and numerator I think this might be a little more helpful: 12/11 is the same as (12)/(11), so when you flip the numerator and the denominator you get (11)/(12), the negative sign is still there :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh, ok. Thank youu! <3

phi
 one year ago
Best ResponseYou've already chosen the best response.1***Since the fraction is being multiplied by V you would divide both sides right?*** You could do that. \[ \frac{ 12 }{ 11 } v\le 10 \] It would look like this. Notice because we are dividing by a negative number, we flip the relation sign: \[ \frac{\frac{ 12 }{ 11 }}{\frac{ 12 }{ 11 }}v \ge \frac{10}{\frac{ 12 }{ 11 }} \] on the left side, anything divided by itself is 1, and we get 1*v or just v: \[ v \ge \frac{10}{\frac{ 12 }{ 11 }} \] on the right side, we have an ugly fraction. We can simplify it by multiplying top and bottom by the reciprocal: \[ v \ge \frac{10\cdot \frac{ 11 }{ 12 }}{\frac{ 12 }{ 11 } \cdot \frac{ 11 }{ 12 }} \] the bottom turns into 1 \[ v \ge \frac{10\cdot \frac{ 11 }{ 12 }}{1} \\ v \ge 10\cdot \frac{ 11 }{ 12 } \] and finally \[ v \ge \frac{55}{6} \] Of course, it is easier to multiply both sides by 12/11 rather than dividing, as Vocaloid shows up above.
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