Fsc Part 1 Mathematics (Complete Solution)

Q6
Use Venn diagrams to verify the following

(i) A-B=A∩Bc

SOLUTION:

The shaded region in Fig 1 represents A-B.

In Fig2,the region of horizontal lines represents Bc ,and the region of rectangles represents A∩Bc.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∩Bc

(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

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