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Given that P = {p: 1< p < 20}, where p is an integer and...

Mathematics
WAEC 2024

Given that P = {p: 1< p < 20}, where p is an integer and R = {r : 0 \(\leq\) r \(\leq\) 25, where r is a multiple of 4}. Find P ∩ R

  • A. {4, 8, 10, 16}
  • B. {4, 8, 12, 16}
  • C. {4, 8, 12, 16, 20}
  • D. {4, 8, 12, 16, 20, 24}
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Correct Answer: Option B
Explanation

P = {p:1 < p < 20}

Then,  P = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

R = { r : 0 \(\leq\) 25, r is a multiple of 4 }

Then R = { 0, 4, 8, 12, 16, 20, 24}

Thus, P ∩ R = {4, 8, 12, 16}


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