1. Tardigrade
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  3. Mathematics
  4. Given that the solution set for x of the inequality (2m+x/3) le(4mx-1/2) is x ge(3/4), find the value of the parameter m.

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Q. Given that the solution set for $x$ of the inequality $\frac{2m+x}{3}\le\frac{4mx-1}{2} is x\ge\frac{3}{4},$ find the value of the parameter $m.$

Linear Inequalities

Solution:

From $\frac{2m+x}{3} \le\frac{4mx-1}{2}$ it follows that
$4m+2x\le12mx-3,$
$2\left(6m-1\right)x \ge4m+3.$