The number of solutions of the inequality 3x-5 < x+7, where x is a natural number is

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Infinitely Many

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Solution

The correct option is C 5
$3 x - 5 < x + 7 \Rightarrow 3 x - x < 7 + 5 \Rightarrow 2 x < 12 \Rightarrow x < 6 ∴ x = 1, 2, 3, 4, 5 (∵ x \in N)$
The number of natural number solutions of the given equation is 5.

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