MHB Disjoint Sets R, T: Venn Diagram Visualization

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R consists of the factors of 24, while T includes the numbers 7, 9, and 11, making them disjoint sets. Set S is defined as empty, meaning it contains no elements. The challenge lies in visualizing these sets within a Venn diagram, particularly how to represent the empty set S alongside R and T. To illustrate, R and T would be represented as separate circles with no overlap, and S would be indicated as a space outside these circles. Understanding the placement of the empty set in relation to the other sets is crucial for accurate representation.
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represent below in venn diagram

R = { x|x is a factor of 24}
S= { }
T = { 7 , 9 , 11 }

i understand R and T are disjoint sets,,, my problem here sir/mam, is that how am i going to draw the set S in the Universal set with the sets R and T.

Thanks a lot
 
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rcs said:
represent below in venn diagram

R = { x|x is a factor of 24}
S= { }
T = { 7 , 9 , 11 }

i understand R and T are disjoint sets,,, my problem here sir/mam, is that how am i going to draw the set S in the Universal set with the sets R and T.
S=\emptyset
That question is really hard to understand what it means.
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

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