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

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 \((P \cup Q)\).
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  • A \({x : -5 < x < 5}\)
  • B \({x : -5 \leq x \leq 5}\)
  • C \({x : -5 \leq x < 5}\)
  • D \({x : -5 < x \leq 5}\)
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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