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Given that P = {x: x is a multiple of 5}, Q = {x: x...

Further Mathematics
WAEC 2022

Given that P = {x: x is a multiple of 5}, Q = {x: x is a multiple of 3} and R = {x: x is an odd number} are subsets of μ = {x: 20 ≤ x ≤ 35}, (P⋃Q)∩R.

  • A. {20, 21, 25, 30, 33}
  • B. {21, 25, 27, 33, 35}
  • C. {20, 21, 25, 27, 33, 35}
  • D. {21, 25, 27, 30, 33, 35}
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Correct Answer: Option B
Explanation

P = { 20, 25, 30, 35}, Q = {21, 24, 27, 30, 33}, R = {21, 23, 25, 27, 29, 31, 33, 35}


(P⋃Q)∩R = {20, 21, 24, 25, 27, 30, 33, 35} ∩ {21, 23, 25, 27, 29, 31, 33, 35}


= {21, 25, 27, 33, 35}


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