Question

verify (a+b)+c=a+(b+c) for a=-2/5,b=3/7 and c=-1/4

Answer 1

Answer:

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

For the LHS:

Union of two sets will have the elements of both sets.

So, B∪C={2,3,4,5,6,8}  

A−(B∪C) will have elements of A which are not in (B∪C)

So, A−(B∪C)={1} .. (1)

For the RHS:

A−B will have elements of A which are not in B.

So, A−B={1,3,5}  

A−C will have elements of A which are not in C.

So, A−C={1,2}  

Intersection of two sets has the common elements of both the sets.  

⇒(A−B)∩(A−C)={1} .. (2)

From (1) and (2), we have

A−(B∪C)=(A−B)∩(A−C)

Hence, the given expression is true.