Question

Os valores de x para os quais a desigualdade 3-(3x/2) > (8-4x)/7 é satisfeita para:

Answer 1

$3- \frac{3x}{2} \ \textgreater \ \frac{8-4x}{7}$
$\frac{6-3x}{2} \ \textgreater \ \frac{8-4x}{7}$
$(6-3x)*7\ \textgreater \ (8-4x)*2$
$42-21x\ \textgreater \ 16-8x$
$-21x+8x\ \textgreater \ 16-42$
$-13x\ \textgreater \ -26$
$13x\ \textless \ 26$
$x\ \textless \ \frac{26}{13}$
$x\ \textless \ 2$

Answer 2

Resposta:

x<2

Explicação passo-a-passo:

3- \frac{3x}{2} \ \textgreater \   \frac{8-4x}{7}  

\frac{6-3x}{2} \ \textgreater \   \frac{8-4x}{7}  

(6-3x)*7\ \textgreater \ (8-4x)*2

42-21x\ \textgreater \ 16-8x

-21x+8x\ \textgreater \ 16-42

-13x\ \textgreater \ -26

13x\ \textless \ 26

x\ \textless \  \frac{26}{13}  

x\ \textless \ 2