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"Is equal to" over the set of all rational numbers is (a) (T) (b) (S) (c) (R) (d) E?
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"Is equal to" over the set of all rational numbers is (a) (T) (b) (S) ...
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Definition of "Is equal to" over the set of all rational numbers

"Is equal to" is an equivalence relation over the set of all rational numbers. An equivalence relation is a binary relation that is reflexive, symmetric, and transitive.

Reflexivity

For any rational number a, a is equal to itself. Therefore, "is equal to" is reflexive.

Symmetry

If a is equal to b, then b is equal to a for any rational numbers a and b. Therefore, "is equal to" is symmetric.

Transitivity

If a is equal to b and b is equal to c, then a is equal to c for any rational numbers a, b, and c. Therefore, "is equal to" is transitive.

Conclusion

Since "is equal to" satisfies the properties of an equivalence relation over the set of all rational numbers, the answer is (a) (T).
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"Is equal to" over the set of all rational numbers is (a) (T) (b) (S) ...
E
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"Is equal to" over the set of all rational numbers is (a) (T) (b) (S) (c) (R) (d) 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 equal to" over the set of all rational numbers is (a) (T) (b) (S) (c) (R) (d) E? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for "Is equal to" over the set of all rational numbers is (a) (T) (b) (S) (c) (R) (d) E?.
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