Question 2 of 40beginner🔧 ApplyNumerical3 marks

Solve −12x>30-12x > 30, when (i) xx is a natural number. (ii) xx is an integer.

(i)
Answer

No solution exists. The solution set is ∅ (empty set).

(ii)
Answer

The solution set is {..., -5, -4, -3}.

Explanation

This question tests understanding of solving linear inequalities and identifying solutions within specific number sets. The key concept is Rule 2 from the textbook: when dividing both sides of an inequality by a negative number, the sign of inequality must be reversed. Natural numbers are positive integers starting from 1, while integers include all whole numbers (positive, negative, and zero).