Sets

Sets

Secondary 4

\[P=\{x:x\text{ is an integer and}\hspace{0.5em}-3\leq x<5\},\] \[Q=\{x:x\text{ is an integer and}\hspace{0.5em}x^2\leq9\}.\]

  1. List \(P\) and \(Q\).

  2. Find \(P\cap Q\).

  3. State whether \(P\cap Q=P\), \(P\cap Q=Q\), or neither. Explain.

  4. Find one integer \(r\) such that \[ r\in P\quad\text{but}\quad r\notin P\cap Q. \]

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