# Solve –12x > 30, when (i) x is a natural number (ii) x is an integer.

We are given –12x > 30

or < (Rule 2)

or x <

or x < .

(i) When x is a natural number, there is no value of x which makes the statement true.

The solution set of the inequality is empty i. e.,φ .

(ii) When x is an integer, the solutions of the given inequality are .…., -5, -4, -3.

The solution set of the inequality is {.…., -5, -4, -3}.

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