Precalculus problem with four options

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in the picture you can see the question and the 4 options.

i have a dilemma between option A to D but i am more think is D.

what do you say do i correct ?


thanks.
 

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Why do you think it could be either A or D? What have you learned about complements and intersections? You could have just been guessing, so you should post some more work.

-D
 
is hard to post all the work here.
but p(AnB^c)^c n C=P(A^cnB) n C.
this why i almost sure it D.
i tell you why i am not sure if is D, well because i am not sure if is need to be only the part in B and C except the part A or the part in all C except the part A and C as showing in option A.
so can you help me with that ?

thanks.
 
Your equation in the second line is not correct, look up De Morgan's law again.