Question

Complete solution set of the inequality is 3x-1/4x+1 > 3 is

Answer 1

$Given \: \frac{3x-1}{4x+1} \gt 3$

/* Multiplying both sides by (4x+1) , we get */

$\implies \frac{3x-1}{\cancel {(4x+1)}} \times \cancel { (4x+1)} \gt 3\times (4x+1)$

$\implies 3x - 1 \gt 12x + 3$

/* Add bothsides by 1 , we get */

$\implies 3x - 1 + 1\gt 12x + 3+1$

$\implies 3x \gt 12x + 4$

/* Subtract bothsides of inequality by -12x , we get */

$\implies 3x - 12x \gt 12x + 4 - 12x$

$\implies -9x \gt 4$

/* Dividing bothsides by (-9) , we get */

$\implies \frac{-9x}{-9} \lt \frac{4}{(-9)}$

$\implies x \lt \frac{-4}{9}$

Therefore.,

$\green { x \lt \frac{-4}{9} }$

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Answer 2

Answer:

-4/9

Step-by-step explanation:

hope it helps....