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

+1 vote
73 views

by (64.2k points)
selected

The given inequality is –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}.