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Definition of Sets

If S repres...

Question

If $S$ represents the set of all real numbers $x$ such that $1 \leq x \leq 3$ and $T$ represents the set of all real numbers $x$ such that $2 \leq x \leq 5$ , the set represented by $S \cap T$ is

A

2 \leq x \leq 3

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B

1 \leq x \leq 5

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C

x \leq 5

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D

x \geq 5

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E

none of these

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Solution

The correct option is A $2 \leq x \leq 3$
$S \cap T$ (common part of S and T) = $2 \leq x \leq 3$

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