(anb)'=? use venn diagrams
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To find :
We have to find the Venn diagram for (A ∩ B)'.
Steps :
- (A ∩ B) means the intersection of A and B, which represents the common region of both A and B.
- Then, (A ∩ B)' represents the region in the universal set which excludes (A ∩ B).
Drawing :
- Draw two intersecting circles.
- Box them inside a rectangle.
- Mark each circle with A and B.
- Mark the rectangle as U as shown in the attachment.
- Point out A ∩ B.
- Shade the whole region except for A ∩ B.
Solution :
We see the required region for (A ∩ B)' as shaded in the given attachment. (A ∩ B)' means the region in the universal set which doesn't include (A ∩ B) and thus it is the total region of A' and B'.
∴ (A ∩ B)' = A' U B'
Attachments:

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