Solve the system of inequalities: $x - 2 > 0, 3 x < 18$

1 < x < 3

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2 < x < 6

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3 < x < 18

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None of these

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Solution

The correct option is A $2 < x < 6$
Consider the first inequality
$x - 2 > 0$
$x > 2$ ......(i)
Consider the second inequality
$3 x < 18$
$x < 6$ .......(ii)
Hence from (i) and (ii) the solution for the above pair of linear inequalities is $2 < x < 6$

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