Ex 6.1, 2 Solve -12x > 30, x is natural number integer  - Solving inequality  (one side)

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  1. Chapter 6 Class 11 Linear Inequalities
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Ex 6.1, 2 Solve –12x > 30, when x is a natural number –12x > 30 –x > ﷐30﷮12﷯ –x > 2.5 Since x is negative, we multiply both sides by -1 & change the signs (–x) × (-1) < 2.5 × (-1) x < − 2.5 (i) Since x is a natural number, it can be only positive number starting from 1 (i.e. 1, 2, 3, 4, 5,….) There is no natural number less than −2.5. Thus, when x is a natural number, there is no solution. (ii) x is an integer Now, x < − 2.5 Since x is an integer, it can be negative but cannot be a decimal So, x can be any negative number less than – 3 Hence, the values of x which will satisfy the inequality are = {……, –6, –5, –4, –3}

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