Question

Difference between equivalent set and equal sets .

Answer 1

Hint: Use the definition of an equivalent set and equal set to understand the difference between them. Also use examples to understand the required differences between equal sets and equivalent sets.

Complete step-by-step answer:

When we have two sets that have the exact same elements, we call them equal sets. It does not matter what order the elements are in. It just matters that the same elements are in each set.
Example -
{January, March, May, November} and {May, March, January, November}

An equivalent set is simply a set with an equal number of elements. The sets do not have to have the same exact elements, just the same number of elements. Let's take a look at some examples:
Example -
Set A: {A, B, C, D, E}
Set B: {January, February, March, April, May}

Even though Sets A and B have completely different elements (Set A comprises letters, and Set B comprises months of the year), they have the same amount of elements, which is five. Set A contains five letters and Set B contains five months. That makes them equivalent sets .

Note: An equal set is an equivalent set but it is not necessary that an equivalent set is an equal set. A proper concept of sets should be recalled to get the answers to such questions.