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If B sub C, prove that A\\B =A\\C.Is this result true when difference is replaced by symmetric difference ? Give reason.

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :If `<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> <a href="https://interviewquestions.tuteehub.com/tag/sub-1230791" style="font-weight:bold;" target="_blank" title="Click to know more about SUB">SUB</a> C`, then `x in B impliesx in C`<br/>Now `x in A -C <impliesx:x a="" c="" in="" x=""> `<implies :x="" a="" b="" in="" x="">` <implies a-b="" in="">`:. A -C =A -B` <br/> But `A <a href="https://interviewquestions.tuteehub.com/tag/delta-947703" style="font-weight:bold;" target="_blank" title="Click to know more about DELTA">DELTA</a> B != A Delta C`</implies></implies></impliesx:x></body></html>


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