Question

1) 3(2x-4)< -5(2-3x) 2) 1/2x+3< 2x-1 3) 7x/4< -2 4)2x-3/6< 4x+1/7

Answer 1

1) 3 * (2х - 4) < -5 * (2 - 3х)
6х - 12 < -10 + 15x
6x - 15x < -10 + 12
-9x < 2
$x \ \textgreater \ - \frac{2}{9}$

2) $\frac{1}{2} x + 3 \ \textless \ 2x - 1$
$\frac{1}{2} x - 2x \ \textless \ - 1 - 3$
$- \frac{3}{2} x \ \textless \ -4$
$x \ \textgreater \ -4*(- \frac{2}{3} )$
$x \ \textgreater \ \frac{8}{3}$
$x \ \textgreater \ 2\frac{2}{3}$

3) $\frac{7x}{4} \ \textless \ -2$
$x \ \textless \ -2 * \frac{4}{7}$
$x \ \textless \ - \frac{8}{7}$
$x \ \textless \ - 1\frac{1}{7}$

4) Вот тут я не уверена, правильно ли поняла числитель дроби:
$2x - \frac{3}{6} \ \textless \ 4x - \frac{1}{7}$
$2x - 4x - \frac{1}{2} \ \textless \ - \frac{1}{7}$
$-2x \ \textless \ - \frac{1}{7} + \frac{1}{2}$
$2x \ \textgreater \ \frac{-1*2+1*7}{7*2}$
$x \ \textgreater \ \frac{5}{14*2}$
$x \ \textgreater \ \frac{5}{28}$