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If set A = {x | x is an even number less than 10} and set B = {x | x is a prime
If set A = {x | x is an even number less than 10} and set B = {x | x is a prime number less than 10}, what is A ∩ B?
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Practice Questions
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Q1
If set A = {x | x is an even number less than 10} and set B = {x | x is a prime number less than 10}, what is A ∩ B?
{2, 4, 6, 8}
{2}
{2, 3, 5, 7}
{2, 3, 5, 7, 4, 6, 8}
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The intersection A ∩ B includes elements that are both even and prime, which is {2}.
Questions & Step-by-step Solutions
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Q
Q: If set A = {x | x is an even number less than 10} and set B = {x | x is a prime number less than 10}, what is A ∩ B?
Solution:
The intersection A ∩ B includes elements that are both even and prime, which is {2}.
Steps: 5
Show Steps
Step 1: Identify the elements of set A. Set A includes all even numbers less than 10. The even numbers less than 10 are {0, 2, 4, 6, 8}.
Step 2: Identify the elements of set B. Set B includes all prime numbers less than 10. The prime numbers less than 10 are {2, 3, 5, 7}.
Step 3: Find the intersection of sets A and B. The intersection A ∩ B includes elements that are in both set A and set B.
Step 4: Compare the elements of set A and set B. The only number that is both even (from set A) and prime (from set B) is 2.
Step 5: Write the intersection. Therefore, A ∩ B = {2}.
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