Lesson one in the equality and equivalence module. Lesson includes activities, discussion points, examples, questions and answers. Report this resource to let us know if it violates our terms and conditions.Can you have an equivalence relation with no equality?
In the color case the equivalence relation looks like this: When you have just an equivalence relation and no equality, you can still do it. The definition of equality is then just inlined into the equivalence implementation.What is an equivalence relation in math?
Wikipedia: Equivalence relation: In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being "equivalent" in some way. Let a, b, and c be arbitrary elements of some set X. Then "a ~ b" or "a ≡ b" denotes that a is equivalent to b.What is an example of equivalence?
Equivalence relations can be explained in terms of the following examples: The sign of ‘is equal to (=)’ on a set of numbers; for example, 1/3 = 3/9. For a given set of triangles, the relation of ‘is similar to (~)’ and ‘is congruent to (≅)’ shows equivalence. For a given set of integers, the relation of ‘congruence modulo n (≡)’ shows equivalence.