Question

(anb)'=? use venn diagrams

Answer 1

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 :

1. Draw two intersecting circles.
2. Box them inside a rectangle.
3. Mark each circle with A and B.
4. Mark the rectangle as U as shown in the attachment.
5. Point out A ∩ B.
6. 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'