Draw appropriate Venn diagram for each of the following:

(i) (A B)’, (ii) A’ B’, (iii) (A B)’,


(iv) A’ B’


(i) First we draw (A B)



The shaded region represents (A B).


We have to draw diagram for complement of (A B), which is given by U - (A B)



(ii)Here we have to draw diagram of (A’ B’)


So, first we draw A’( = U - A)



Now, we draw B’( = U - B)



Now the area common in both the shaded regions gives us (A’ B’)



Here, we observe that the final result for (i) and (ii) is same.


(A B)’ = (A’ B’)


(iii) (i)First we draw (A B)



The shaded region represents (A B).


We have to draw diagram for complement of (A B), which is given by U - (A B)



(iv) (ii)Here we have to draw diagram of (A’ B’)


So, first we draw A’( = U - A)



Now, we draw B’( = U - B)



Now the area present in both is added to give (A’ B’)



Here, we observe that the final result for (iii) and (iv) is same.


(A B)’ = (A’ B’)


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