If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?
Practice Questions
1 question
Q1
If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?
{a, e, i, o, u}
{}
{a, b, c}
{a, e, i}
The intersection A ∩ B is empty because no letter can be both a vowel and a consonant.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?
Solution: The intersection A ∩ B is empty because no letter can be both a vowel and a consonant.
Steps: 5
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.
