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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)?
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"Is smaller than" over the set of eggs in a box is (a) Transitive (T) ...
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In conclusion, the relation "is smaller than" over the set of eggs in a box is transitive, but not symmetric, reflexive, or an equivalence relation.
- Transitive (T)
- The relation "is smaller than" over the set of eggs in a box is transitive.
- Transitive means that if A is smaller than B and B is smaller than C, then A must be smaller than C.
- For example, if egg A is smaller than egg B, and egg B is smaller than egg C, then it follows that egg A is smaller than egg C.
- Therefore, the relation "is smaller than" over the set of eggs in a box is transitive.
- Symmetric (S)
- The relation "is smaller than" over the set of eggs in a box is not symmetric.
- Symmetric means that if A is smaller than B, then B must also be smaller than A.
- However, in the case of eggs in a box, it is possible for egg A to be smaller than egg B, but for egg B to not be smaller than egg A.
- Therefore, the relation "is smaller than" over the set of eggs in a box is not symmetric.
- Reflexive (R)
- The relation "is smaller than" over the set of eggs in a box is not reflexive.
- Reflexive means that every element is related to itself.
- In the case of eggs in a box, an egg cannot be smaller than itself.
- Therefore, the relation "is smaller than" over the set of eggs in a box is not reflexive.
- Equivalence (E)
- The relation "is smaller than" over the set of eggs in a box is not an equivalence relation.
- An equivalence relation must be reflexive, symmetric, and transitive.
- As discussed above, the relation "is smaller than" over the set of eggs in a box is not reflexive or symmetric.
- Therefore, it cannot be an equivalence relation.
In conclusion, the relation "is smaller than" over the set of eggs in a box is transitive, but not symmetric, reflexive, or an equivalence relation.
Community Answer
"Is smaller than" over the set of eggs in a box is (a) Transitive (T) ...
A) transitive
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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)?
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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)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about "Is smaller than" over the set of eggs in a box is (a) Transitive (T) (b) Symmetric (S) (c) Reflexive (R) (d) Equivalence (E)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for "Is smaller than" over the set of eggs in a box is (a) Transitive (T) (b) Symmetric (S) (c) Reflexive (R) (d) Equivalence (E)?.
"Is smaller than" over the set of eggs in a box is (a) Transitive (T) (b) Symmetric (S) (c) Reflexive (R) (d) Equivalence (E)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about "Is smaller than" over the set of eggs in a box is (a) Transitive (T) (b) Symmetric (S) (c) Reflexive (R) (d) Equivalence (E)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for "Is smaller than" over the set of eggs in a box is (a) Transitive (T) (b) Symmetric (S) (c) Reflexive (R) (d) Equivalence (E)?.
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