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

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asked Aug 18, 2017 in Mathematics by sforrest072 (157,439 points) 61 410 949

1 Answer

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answered Aug 18, 2017 by Rohit Singh (61,782 points) 35 133 357
selected Aug 18, 2017 by sforrest072
 
Best answer

Answer :
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}.

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