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MATHS-Draw a Venn diagram showing the elements of sets A, B, and the universe for all 4 regions

Question # 00012704
Subject: Mathematics
Due on: 05/12/2014
Posted On: 04/18/2014 07:14 PM

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1.Draw a Venn diagram showing the elements of sets A, B, and the universe for all 4 regions.
2.Draw a second diagram showing only the elements of the complement of set A.
3.Draw a third diagram showing only the elements of the complement of set B.
4.Draw a fourth diagram showing the union of steps 2 and 3 for the first DeMorgan's law or the intersection of steps 2 and 3 for the second DeMorgan's law.
5.Draw a fifth diagram showing the elements of the intersection of sets A and B for the first DeMorgan's law or the union of sets A and B for the second DeMorgan's law.
6.Finally, draw the last diagram showing the complement of step 5. Compare the results from step 4 against those in step 6 to prove both DeMorgan's laws. In the absence of data elements, you can use 4 different colors to clearly indicate the regions of the universe and follow all of the steps.

Part II

Define two propositions (simple statements that can be either true or false). Give a real-world example of 2 propositions that r and s can represent. Call them r and s. Create a truth table that shows all values of the following:

Proposition

Definition

Your example explained

r

s
¬ r
¬s
r ? s
¬ r v s
r ? ¬s

Interpret the columns of the truth table for those proposition examples. Interpret the operations on the propositions and the values in the table based on the operations and the values of r and s.


Tags sets universe regions elements showing venn diagram mathsdraw showing diagram demorgans elements values steps step propositions complement table sets second example proposition truth intersection union universe interpret operations realworld based false true simple statements represent create examples columns

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MATHS-Draw a Venn diagram showing the elements of sets A, B, and the universe for all 4 regions

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Posted On: 04/18/2014 07:15 PM
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Tutorial Preview …the xxxxxxxxxxxx of xxxx A and x for the xxxxx DeMorgan's xxx xx the xxxxx of sets x and B xxx the xxxxxx xxxxxxxxxx law x Finally, draw xxx last diagram xxxxxxx the xxxxxxxxxx xx step x Compare the xxxxxxx from step x against xxxxx xx step x to prove xxxx DeMorgan's laws xx the xxxxxxx xx data xxxxxxxxx you can xxx 4 different xxxxxx to xxxxxxx xxxxxxxx the xxxxxxx of the xxxxxxxx and follow xxx of xxx xxxxx We…
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MATH_-_Venn_Diagram_And_Tables.docx (37.13 KB)
Preview: DeMorgan's xxx 6 xxxxxxxx draw the xxxx diagram showing xxx complement xx xxxx 5 xxxxxxx the results xxxx step 4 xxxxxxx those xx xxxx 6 xx prove both xxxxxxxxxx laws In xxx absence xx xxxx elements, xxx can use x different colors xx clearly xxxxxxxx xxx regions xx the universe xxx follow all xx the xxxxx xx see xxxx region (A x B)’ = xxxx U xxxxxxxxxx xxxxxxxxxxxx law)Part xxxxxxxx two propositions xxxxxxx statements that xxx be xxxxxx.....
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