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If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the
Practice Questions
Q1
If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the word 'SET'}, what is A ∩ B?
{M, A, T}
{A, T}
{T}
{}
Questions & Step-by-Step Solutions
If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the word 'SET'}, what is A ∩ B?
Steps
Concepts
Step 1: Identify the letters in the word 'MATH'. This gives us the set A = {M, A, T, H}.
Step 2: Identify the letters in the word 'SET'. This gives us the set B = {S, E, T}.
Step 3: Find the common letters between set A and set B. Look for letters that appear in both sets.
Step 4: The only letter that is in both A and B is 'T'.
Step 5: Therefore, the intersection A ∩ B is the set containing the common letter, which is {T}.
Set Theory
– Understanding the concept of sets, particularly the intersection of two sets.
Letter Identification
– Identifying letters from given words and determining common elements.
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