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If \(P = {x : -2 < x < 5}\) and \(Q = {x :...

Further Mathematics
WAEC 2016

If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).

  • A. \({x : -5 < x < 5}\)
  • B. \({x : -5 \leq x \leq 5}\)
  • C. \({x : -5 \leq x < 5}\)
  • D. \({x : -5 < x \leq 5}\)
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Correct Answer: Option A
Explanation

\(P = {x : -2 < x < 5}\) and \(Q = {x:  -5 < x < 2}\)

\((P \cup Q) = {x : -5 < x < 5}\)


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