Question

Resolva a inequação.
a) x-3/4 -x+1/3 <= x-1/6

Answer 1

a) $\dfrac{x-3}{4}-\dfrac{x+1}{3}\le\dfrac{x-1}{6}$

$\dfrac{x-3}{4}-\dfrac{x+1}{3}-\dfrac{x-1}{6}\le0$

$\dfrac{3(x-3)-4(x+1)-2(x-1)}{6}\le0$

$3x-9-4x-4-2x+2\le0$

$-3x-11\le0$

$3x\ge-11$

$x\ge-\dfrac{11}{3}$