Set Intersection Calculator: Find A ∩ B

What is Set Intersection A ∩ B?

Set intersection is like finding common friends between two groups. When we talk about A ∩ B, we're looking for elements that belong to both Set A and Set B at the same time. It's like discovering what toys you and your friend both have in your toy boxes!

How to Calculate Set Intersection A ∩ B

To find the intersection of two sets, we look at each element in both sets and keep only the ones that appear in both. It's like playing a matching game!

Formula

We can write the set intersection formula like this:

\[ A \cap B = \{x : x \in A \text{ and } x \in B\} \]

Where:

• \(A \cap B\) means the intersection of Set A and Set B
• \(x\) represents an element
• \(\in\) means "is an element of"
• "and" means both conditions must be true

Calculation Steps

1. Write down all the elements in Set A
2. Write down all the elements in Set B
3. Look at each element in Set A
4. If the element is also in Set B, put it in your intersection set
5. Repeat until you've checked all elements
6. The elements you've collected form A ∩ B!

Example and Visual Representation

Let's say we have two sets of favorite fruits:

Set A = {apple, banana, cherry, date}

Set B = {banana, cherry, elderberry, fig}

To find A ∩ B, we look for fruits that are in both sets:

A ∩ B = {banana, cherry}

Remember, finding the intersection is like discovering what fruits you and your friend both love. It's a fun way to see what you have in common!