Question

Check whether
(A U B) n c.AU (B n C) or not,
using Venn Diagram.

Answer 1

a=1,2,3
b=4,5,6,x
c=x,y,z
(aub)=(1,2,3)u(4,5,6)=(1,2,3,4,5,6,x)
(aub)nC=(x)
(bnc)=(x)
au(bnc)=(1,2,3,4,5,6,x)
yes (AuB)nC=Au(BnC)
HENCE PROVED

Answer 2

A Venn diagram is a diagram that shows all possible logical relations between a finite collection of sets. To check whether the expression (A union B) intersection C = A union (B intersection C) is true or not, we can draw a Venn diagram and see if the two sets on either side of the equation are equivalent.

Here's how you could draw the Venn diagram:

Draw three circles to represent the sets A, B, and C.

Shade the region that represents the elements in set A.

Shade the region that represents the elements in set B.

Shade the region that represents the elements in set C.

Shade the region that represents the elements in (A union B).

Shade the region that represents the elements in (B intersection C).

Shade the region that represents the elements in (A union (B intersection C)).

Shade the region that represents the elements in ((A union B) intersection C).

If the sets (A union B) intersection C and A union (B intersection C) are equivalent, then the two shaded regions in step 7 and 8 should be identical. If they are not identical, then the expression is not true.

Note that this method is used to visually verify the truth or falsity of a set equation, not to determine its actual value.

https://brainly.in/question/3431667

#SPJ3