It is given in the question that,

– 12x > 30

Dividing the inequality by -12 on both sides we get,

(i) When x is a natural integer.

It can be clearly observed that there is no natural number less thanbecause- is a negative number and natural numbers are positive numbers.

∴there would be no solution of the given inequality when x is a natural number.

(ii) When x is an integer

It can be clearly observed that the integer number less thanare…, -5, -4, -3

Thus, solution of– 12x > 30is …,-5, -4, -3, when x is an integer.

∴ {…, -5, -4, -3} is the solution set.