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Linear Inequalities — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequalities1 Mark
Question
Solve – 12x > 30, when x is a natural number.
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Answer

It is given in the question that,
– 12x > 30
Dividing the inequality by -12 into both sides we get,
$x<\frac{-5}{2}$
When x is a natural integer.
It can be clearly observed that there is no natural number less than$\frac{-5}{2}$because $\frac{5}{-2}$  is a negative number and natural numbers are positive numbers.
$\therefore$ There would be no solution to the given inequality when x is a natural number.

solution set = $\phi$

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