Solve 30 x < 200 when x is an integer. - Vidyadip

Question

Solve 30 x < 200 when x is an integer.

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Answer

We are given 30 x < 200
$\Leftrightarrow$ $\frac{30 x}{30}<\frac{200}{30}$
i.e., x < 20 / 3.
When x is an integer, the solutions of the given inequality are
..., – 3, –2, –1, 0, 1, 2, 3, 4, 5, 6
The solution set of the inequality is {...,–3, –2,–1, 0, 1, 2, 3, 4, 5, 6}

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