Question

If A = {1,2,3,4,5}, B = {3,4,6,7,8}, C = {1,3,5,7} then find A - (
BC) and (A - B) U (A - C).
What is your comment ?
Give your argument to prove that the null set is a subset of every set.​

Answer 1

Answer:

I can't solve this question because I'm a student of class 7th......bro will you please follow me and mark me as a branliest

Answer 2

Step-by-step explanation:

Given sets are:

A = {1,2,3,4,5}, B = {3,4,6,7,8}, C = {1,3,5,7}

Now,

BnC= {3,4,6,7,8}n{1,3,5,7} ={3,7}

A-(BnC)={1,2,3,4,5}-{3,7}

A-(BnC)={1,2,4,5}-------(1)

and,

A-B={1,2,3,4,5}- {3,4,6,7,8}={1,2,5}

A-C= {1,2,3,4,5}- {1,3,5,7} ={2,4}

Now,( A-B)U(B-C)={1,2,5}U{2,4}={1,2,4,5}----(2)

From (1)&(2)

A-(BnC)=(A-B)U(B-C)

Proving null set is a subset of every set:-

Null set is a subset of every set

If A is subset of B it means all the elements of set A belong to set B

=>no element of A missed in set B

empty set means it has no elements no no element of empty set can be missed in any set so we can say that empty set is a subset of every set