A = {1, 2, 3}, B={4,5,6 } then which of the following is a relation from A to B?
1) {(1, 6), (3, 4), (5, 2)}
2) {(1, 5), (2, 6), (3, 4), (3, 6)}
3) {(4, 2), (4, 3)}
4) {(4, 1), (5, 2), (6, 3)}
if anybody will answer this question I will make the brainiest..... enjoy your 25 points.
1) {(1, 6), (3, 4), (5, 2)}
2) {(1, 5), (2, 6), (3, 4), (3, 6)}
3) {(4, 2), (4, 3)}
4) {(4, 1), (5, 2), (6, 3)}
if anybody will answer this question I will make the brainiest..... enjoy your 25 points.
Answers & Comments
Answer:
To determine which of the given options is a relation from set A to set B, we need to check if each ordered pair in the relation has an element from set A as the first element and an element from set B as the second element.
Let's analyze each option:
1) {(1, 6), (3, 4), (5, 2)}
- In this option, (1, 6) and (3, 4) have elements from set A and set B respectively. However, (5, 2) does not have an element from set A as the first element. Therefore, this option is not a relation from A to B.
2) {(1, 5), (2, 6), (3, 4), (3, 6)}
- In this option, (1, 5), (2, 6), and (3, 4) have elements from set A and set B respectively. However, (3, 6) has an element from set B as the second element, but 6 is not an element of set B. Therefore, this option is not a relation from A to B.
3) {(4, 2), (4, 3)}
- In this option, both ordered pairs have an element from set B as the first element. However, for a relation from A to B, the first element should be from set A. Therefore, this option is not a relation from A to B.
4) {(4, 1), (5, 2), (6, 3)}
- In this option, (4, 1), (5, 2), and (6, 3) have elements from set B and set A respectively. Each ordered pair satisfies the condition for a relation from A to B. Therefore, this option is a relation from A to B.
Based on the analysis, option 4) {(4, 1), (5, 2), (6, 3)} is the correct answer as it represents a relation from set A to set B.
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