Question

Does equal sets and equivalent set mean the same?

Answer 1

Equal and Equivalent Sets

• 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.
• Here are some examples of equal sets:
• {1, 3, 5, 7} and {7, 5, 3, 1}

• {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 1

• 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!