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15 Mar 2010, 19:53
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Hi,
in the EIV Manhattan book (p.94), it says that we cannot multiply or divide an inequality by a variable unless we know the sign of the variable.
For example,
If x/yY (we flip the sign). as we don't know the sign of Y, we cannot know the answer.
This totally makes sense for me.
On the other hand, if we look at the OG edition 12 - DS - p.303 - Q#44
Robots X, Y & Z each assemble components at their respective constant rates. If Rx is the ratio of Robot X's constant rate to Robot Z's constant rate and Ry is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?
1) Rx Z???
the explanation assumes that Z is positive...why??
Thanks
in the EIV Manhattan book (p.94), it says that we cannot multiply or divide an inequality by a variable unless we know the sign of the variable.
For example,
If x/yY (we flip the sign). as we don't know the sign of Y, we cannot know the answer.
This totally makes sense for me.
On the other hand, if we look at the OG edition 12 - DS - p.303 - Q#44
Robots X, Y & Z each assemble components at their respective constant rates. If Rx is the ratio of Robot X's constant rate to Robot Z's constant rate and Ry is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?
1) Rx Z???
the explanation assumes that Z is positive...why??
Thanks
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15 Mar 2010, 19:59
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Sweet heart, give it another thought. Can rates of machines ever be negative? Of course, unless they are slowing down but that is not the situation in the problem. So when x, y, z are rates of three machines, X, Y, and Z, none of the rates can be negative.
