If set P = {factors of 12} and set Q = {factors of 18}, what is P ∩ Q?
Answer and explanation
Correct answer: D. {1, 2, 3, 6}
- Step 1: The factors of 12 are {1, 2, 3, 4, 6, 12}. The factors of 18 are {1, 2, 3, 6, 9, 18}. Step 2. The intersection P ∩ Q contains all elements belonging to both sets: {1, 2, 3, 6}. Answer: {1, 2, 3, 6}. Why not the others: {1, 2, 3, 4, 6} includes 4 (not a factor of 18); {1, 2, 3, 6, 9} includes 9 (not a factor of 12); {2, 3, 6} omits 1.
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