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Question 2:
Solve –12x > 30, when
(i) x is a natural number (ii) x is an integer
The given inequality is –12x > 30.
(i) There is no natural number less than
.
Thus, when x is a natural number, there is no solution of the given inequality.
(ii) The integers less than are …, –5, –4, –3.
Thus, when x is an integer, the solutions of the given inequality are
…, –5, –4, –3.
Hence, in this case, the solution set is {…, –5, –4, –3}.
