Fsc Part 1 Mathematics (Complete Solution)

#
Q6

Use Venn diagrams to verify the following

**(i) A-B=A∩B ^{c}**

SOLUTION:

The shaded region in Fig 1 represents A-B.

In Fig2,the region of horizontal lines represents B^{c} ,and the region of rectangles represents A∩B^{c}.It is also clear from both fig that the shaded region in fig 1 and region of rectangles in fig2 are same,so A-B=A∩B^{c}

**(ii) (A-B) ^{c}∩B=B**

SOLUTION:

The shaded region in fig1 represents A-B,the region of horizontal lines represents (A-B)^{c},so the region of rectangles represents

(A-B)^{c}∩B.

In fig2,the shaded region represents B.Ir is also clear from both fig that the region of rectangles in fig1 and the shaded region in fig2 are same,so (A-B)^{c}∩B=B