Question

verify the following 20×{5+(–7)}=(20×5)+{20×(–7) answer with the explanations please​

Answer 1

Answer

The given sets are A={5,10,15,20}, B={6,10,12,18,24} and C={7,10,12,14,21,28}

 

Let us first find A∖(B∖C) as follows:

A∖(B∖C)={5,10,15,20}∖({6,10,12,18,24}∖{7,10,12,14,21,28})={5,10,15,20}∖{6,18,24}

={5,10,15,20}..(1)

Now we find (A∖B)∖C as follows:

(A∖B)∖C=({5,10,15,20}∖{6,10,12,18,24})∖{7,10,12,14,21,28}={5,15,20}∖{7,10,12,14,21,28}

={5,15,20}..(2)

Since equation 1 is not equal to equation 2,

Hence, A∖(B∖C)

=(A∖B)∖C