If A=(2,4,6,8)and B=(3,6,9,12,15) find A-B and B-A
Answers
Answer:
A-B = {2,4,8}
B-A = {3,9,12,15}
Step-by-step explanation:
given,
A={2,4,6,8}
B={3,6,9,12,15}
=> A-B = {2,4,6,8} - {3,6,9,12,15}
= {2,4,8}
also, B-A = {3,6,9,12,15}- {2,4,6,8}
= {3,9,12,15}
Given:
A=(2,4,6,8)
B=(3,6,9,12,15)
To find:
i. A-B
ii. B-A
Solution:
The value of A-B is (2, 4, 8) and B-A is (3, 9, 12, 15).
We can find the values by following the given steps-
We know that the difference between two sets can be obtained by eliminating the common terms in both sets.
So, the value of A-B will be those values of set A which are not in B.
Similarly, the value of B-A will be those values of set B which are not in set A.
We are given that A=(2,4,6,8) and B=(3,6,9,12,15).
i. A-B=(2,4,6,8)-(3,6,9,12,15)
We will eliminate the terms common in A and B.
The common term is 6.
So, A-B=(2, 4, 8)
ii. B-A=(3,6,9,12,15)-(2,4,6,8)
We will eliminate the terms common in B and A.
The common term is 6.
So, B-A=(3, 9, 12, 15)
Therefore, the value of A-B is (2, 4, 8) and B-A is (3, 9, 12, 15).