Question

3x-2/2 + x+5/4 < x+7/3

inecuaciones lineales

Answer 1

Solución: x<25/36

Procedimiento:

$3x - \frac{2}{2} + x + \frac{5}{4 } < x + \frac{7}{3}$

$3x + x - \frac{4}{4} + \frac{5}{4} < x + \frac{7}{3}$

$4x + \frac{1}{4} < x + \frac{7}{3}$

$4x - x < \frac{7}{3} - \frac{1}{4}$

$3x < \frac{28}{12} - \frac{3}{12}$

$3x < \frac{25}{12}$

$x < \frac{25}{3 \times 12}$

$x < \frac{25}{36}$