Question

4) Resolva as seguintes inequações:
d) 3(1 - 2x) <2(x + 1) + x - 7
e) x/3 - (x+1)/2 < (1 - x)/4
f) (x+3) > (-x-1)​

Answer 1

d) $3(1-2x)<2(x+1)+x-7$

$3-6x<2x+2+x-7$

$-6x-2x-x<2-7-3$

$-9x<-8$

$9x>8$

$x>\frac{8}{9}$

e) $\frac{x}{3}-\frac{x+1}{2}<\frac{1-x}{4}$

$\frac{4x}{12}-\frac{6x+6}{12}<\frac{3-3x}{12}$

$\frac{4x-6x-6}{12}<\frac{3-3x}{12}$

$4x-6x-6<3-3x$

$4x-6x+3x<3+6$

$x<9$

f) $x+3>-x-1$

$x+x>-1-3$

$2x>-4$

$x>-\frac{4}{2}$

$x>-2$