If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?

If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?

Step 1: Understand what set A represents. Set A contains all vowels, which are the letters A, E, I, O, U.
Step 2: Understand what set B represents. Set B contains all consonants, which are all the other letters in the alphabet that are not vowels.
Step 3: Identify what the intersection A ∩ B means. The intersection of two sets includes all elements that are in both sets.
Step 4: Check if there are any letters that are both vowels and consonants. Since vowels and consonants are different types of letters, there are no letters that can be both.
Step 5: Conclude that the intersection A ∩ B is empty because no letter can be both a vowel and a consonant.

Set Theory – Understanding the definitions of sets, particularly the concepts of vowels and consonants, and how to find their intersection.
Intersection of Sets – The intersection of two sets includes only the elements that are present in both sets.