Question 2:
Solve –12x > 30, when
(i) x is a natural number (ii) x is an integer
Answer
The given inequality is –12x > 30.
−12x > 30
(i) There is no natural number less than (−5/2).
Thus, when x is a natural number, there is no solution of the given inequality.
(ii) The integers less than (−5/2) 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}.
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