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"Is smaller than" over the set of eggs in a box is
  • a)
    Transitive (T)
  • b)
    Symmetric (S)
  • c)
    Reflexive (R)
  • d)
    Equivalence (E)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
"Is smaller than" over the set of eggs in a box isa)Transitive...
If a is smaller than b and b is smaller than c , then a is definitely smaller than c.

hence it is transitive
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Community Answer
"Is smaller than" over the set of eggs in a box isa)Transitive...
Transitive (T)

Transitivity is a property of relations that states that if a relation holds between two elements, and it also holds between the second element and a third element, then it must also hold between the first element and the third element.

Explanation:

To determine if the relation "smaller than" over the set of eggs in a box is transitive, we need to consider whether the property holds for any three elements in the set.

Let's consider three eggs in the box: A, B, and C.

If egg A is smaller than egg B, and egg B is smaller than egg C, then we need to determine if it is true that egg A is smaller than egg C.

Example:

Let's assume that egg A is smaller than egg B, and egg B is smaller than egg C.

A < />
B < />

If we compare egg A and egg C, we need to check if it holds that egg A is smaller than egg C.

If both egg A and egg B are smaller than egg C, then it is true that egg A is smaller than egg C.

A < b="" />< />

In this case, the relation "smaller than" over the set of eggs in a box is transitive because the property holds for any three elements in the set.

Conclusion:

Therefore, the correct answer is option 'A', transitive (T). The relation "smaller than" over the set of eggs in a box satisfies the transitive property.
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"Is smaller than" over the set of eggs in a box isa)Transitive (T)b)Symmetric (S)c)Reflexive (R)d)Equivalence (E)Correct answer is option 'A'. Can you explain this answer?
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