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.

Question

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. (A) (7/10) (B) (9/10) (C) (9/11) (D) None of these

Tardigrade Admin · Accepted Answer

From (2m+x/3) le(4mx-1/2) it follows that 4m+2x le12mx-3, 2(6m-1)x ge4m+3.

Q. Given that the solution set for $x$ of the inequality $\frac{2 m + x}{3} \leq \frac{4 m x - 1}{2} i s x \geq \frac{3}{4},$ find the value of the parameter $m .$

$\frac{7}{10}$

$\frac{9}{10}$

$\frac{9}{11}$

None of these

From $\frac{2 m + x}{3} \leq \frac{4 m x - 1}{2}$ it follows that
$4 m + 2 x \leq 12 m x - 3,$
$2 (6 m - 1) x \geq 4 m + 3.$

Q. Given that the solution set for x of the inequality 32m+x​≤24mx−1​isx≥43​, find the value of the parameter m.

107​

109​

119​