Set operations with union and complimentary sets

Nov 2012
744
2
Hawaii
The answer given for letter a is much easier to comprehend than the answer given to letter b, although I do understand both answers. Can we use the format used to answer letter a to answer letter b?(Refer to the images). One of the image contains the problem and answers for both a and b. The second image provides my proposed answer for b.
 

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Plato

MHF Helper
Aug 2006
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The answer given for letter a is much easier to comprehend than the answer given to letter b, although I do understand both answers. Can we use the format used to answer letter a to answer letter b?(Refer to the images). One of the image contains the problem and answers for both a and b. The second image provides my proposed answer for b.
$x\in (A\setminus B)~~\text{ please note the use of \setminus ,}\setminus\\\iff x\in A~\&~x\notin B\\\iff x\in( A\cap\overline{~B~})$
 
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Nov 2012
744
2
Hawaii
Thank you so much, I'm getting an overall view on how to solve these types of problems.