MHB Does Q have at least one element that is not in P?Which quantity is greater?

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SUMMARY

The discussion centers on comparing two quantities, A and B, derived from sets P and Q. Quantity A is calculated as \( A = 10 \cdot 12 = 120 \), while Quantity B is calculated as \( B = 1 \cdot 2 \cdot 10 \cdot 12 = 240 \). The conclusion drawn is that Quantity B is greater than Quantity A, as the elements in set P are a subset of those in set Q, which contains additional elements 1 and 2. Therefore, the relationship between the two quantities is definitively established.

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karush
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ok kinda catchy but I chose B
$A =10\cdot 12 =120,\quad B=1\cdot2\cdot10\cdot12=240$
$\begin{array}{ll}
A &\textit{ Quantity A is greater}\\
B &\textit{ Quantity B is greater}\\
C &\textit{ The 2 Quantities are equal}\\
D &\textit{The relationship cannot be determined}
\end{array}$}

how would you rate this Easy,Mediam,Hard?

typos??
 
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You are right.

the question is easy.

The product of numbers that are in P that are in Q cannot be more than the product of numbers that are in Q.

this is so because the numbers in P that are in Q has to be be subset of numbers in Q.

Now does Q contain at least one element that is not in P yes . in fact 2 that is 1 and 2
 

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