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If P = {x:1 ≤ x ≤ 6} and Q = {x: 2 < x < 9...

Further Mathematics
WAEC 2025

If P = {x:1 ≤ x ≤ 6} and Q = {x: 2 < x < 9 },where x ∈ R, find P ∩ Q.

  • A. {x:1 ≤ x < 6}
  • B. {x:2 < x < 6}
  • C. {x:2 ≤ x ≤ 6}
  • D. {x:2 < x ≤ 6}
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Correct Answer: Option D
Explanation

P = {x:1 ≤ x ≤ 6}(here 1 and 6 are included)

P = { 1, 2, 3, 4, 5, 6}

Q = {x: 2 < x < 9

Q = {3, 4, 5, 6, 7, 8}

P \(\cap\) Q = {3.4.5.6}

N.B. Here,2 is not included, but 6 is included in the values of x.

 


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