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Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} ...

Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} and T = {x : − 2 < x < 3} Find S \(\cup\) T
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  • A −3 < x < \(\leq\)3
  • B −2 < x < \(\leq\)5
  • C 2 < x < \(\geq\) −5
  • D −1 < x \(\geq\) \(\leq\)2
Correct Answer: Option B
Explanation:
S = {0, 1, 2, 3, 4, 5}
T = {− 1, 0, 1, 2}
S \(\cup\) T = {− 1, 0, 1, 2, 3, 4, 5 }
⇒ − 2 < x ≤ 5

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