If A = {x | x is an even integer} and B = {x | x is a prime number}, what is A ∩

If A = {x | x is an even integer} and B = {x | x is a prime number}, what is A ∩ B?

If A = {x | x is an even integer} and B = {x | x is a prime number}, what is A ∩ B?

Step 1: Understand what set A is. Set A contains all even integers, which are numbers like -4, -2, 0, 2, 4, 6, etc.
Step 2: Understand what set B is. Set B contains all prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves, like 2, 3, 5, 7, 11, etc.
Step 3: Identify the common elements between set A and set B. We need to find numbers that are both even integers and prime numbers.
Step 4: Check the even integers in set A. The only even prime number is 2, because all other even numbers can be divided by 2, making them not prime.
Step 5: Conclude that the intersection of set A and set B, denoted as A ∩ B, contains only the number 2.

Set Intersection – Understanding the intersection of two sets involves identifying elements that are common to both sets.
Properties of Even and Prime Numbers – Recognizing that the only even prime number is 2 is crucial for solving the problem.