If A = {1, 2, 3} and B = {2, 3, 4}, what is |A ∩ B|?

1 question

1 item

Q: If A = {1, 2, 3} and B = {2, 3, 4}, what is |A ∩ B|?

Solution: A ∩ B = {2, 3}, so |A ∩ B| = 2.

Steps: 7

Step 1: Identify the sets A and B. A = {1, 2, 3} and B = {2, 3, 4}.
Step 2: Find the intersection of sets A and B. The intersection (A ∩ B) includes elements that are in both sets.
Step 3: Look at the elements in A: 1, 2, 3 and in B: 2, 3, 4.
Step 4: Identify the common elements in both sets. The common elements are 2 and 3.
Step 5: Write the intersection as a new set. A ∩ B = {2, 3}.
Step 6: Count the number of elements in the intersection set {2, 3}. There are 2 elements.
Step 7: Write the final answer. |A ∩ B| = 2.