# Set operations with union and complimentary sets

#### asilvester635

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
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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#### asilvester635

Thank you so much, I'm getting an overall view on how to solve these types of problems.

#### asilvester635

Hold up I think I spotted something. (refer to image for question please).

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#### Plato

MHF Helper
Hold up I think I spotted something. (refer to image for question please).
You have a great deal of work to do. You are missing many important concepts.