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If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the
If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the word 'SCIENCE'}, what is A ∩ B?
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1 question
Q1
If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the word 'SCIENCE'}, what is A ∩ B?
{A}
{M, A, T}
{A, C, E}
{A, T}
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The intersection A ∩ B includes letters that are common in both words. The only common letter is 'A', so A ∩ B = {A}.
Questions & Step-by-step Solutions
1 item
Q
Q: If A = {x | x is a letter in the word 'MATH'} and B = {x | x is a letter in the word 'SCIENCE'}, what is A ∩ B?
Solution:
The intersection A ∩ B includes letters that are common in both words. The only common letter is 'A', so A ∩ B = {A}.
Steps: 5
Show Steps
Step 1: Identify the letters in the word 'MATH'. The letters are M, A, T, H. So, A = {M, A, T, H}.
Step 2: Identify the letters in the word 'SCIENCE'. The letters are S, C, I, E, N, C, E. So, B = {S, C, I, E, N}.
Step 3: Find the common letters between sets A and B. Compare the letters in A with those in B.
Step 4: The only letter that appears in both sets A and B is 'A'.
Step 5: Therefore, the intersection A ∩ B is {A}.
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