(i) Given that, – 12x > 30
Now by dividing the inequality by -12 on both sides we get, x < \( - \dfrac{5}{2} \)
When x is a natural integer then
It is clear that there is no natural number less than \( - \dfrac{2}{5} \) because \(- \dfrac{5}{2} \) is a negative number and natural numbers are positive numbers.
Therefore there would be no solution of the given inequality when x is a natural number.
(ii) Given that, – 12x > 30
Now by dividing the inequality by -12 on both sides we get, x < \( - \dfrac{5}{2} \)
When x is an integer then
It is clear that the integer number less than \( - \dfrac{5}{2} \) are…, -5, -4, – 3
Thus, solution of – 12x > 30 is …,-5, -4, -3, when x is an integer.
Therefore the solution set is {…, -5, -4, -3}
Answered by Pragya Singh | 1 year agoSolve each of the following in equations and represent the solution set on the number line \( \dfrac{5x}{4}-\dfrac{4x-1}{3}>1,\) where x ϵ R.
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