Question

desigualdades
5/6x - 2/5 mayor 3/4x-1/10

-7 menor 4x+1 menor 13

-6 menor 2x-3 menor 13

-11 menor 3x-2 menor 7

Answer 1

$\frac{5}{6}x-\frac{2}{5}\ \textgreater \ \frac{3}{4}x-\frac{1}{10}$

$\frac{5}{6}x-\frac{3}{4}x\ \textgreater \ -\frac{1}{10}+\frac{2}{5}$

$\frac{1}{10}x\ \textgreater \ \frac{3}{10}$

$x\ \textgreater \ 10$

--------------------------------------------

$-7 \ \textless \ 4x+1 \ \textless \ 13\\ -7-1 \ \textless \ 4x+1-1 \ \textless \ 13-1\\ -8 \ \textless \ 4x \ \textless \ 12\\ -\frac{8}4 \ \textless \ \frac{4}4x \ \textless \ \frac{12}4\\ -2 \ \textless \ x \ \textless \ 3$

---------------------------------------------

$-6 \ \textless \ 2x-3 \ \textless \ 13\\ -6+3 \ \textless \ 2x-3+3 \ \textless \ 13+3\\ -3 \ \textless \ 2x \ \textless \ 16\\ -\frac{3}{2}\ \textless \ x\ \textless \ 8$

---------------------------------------------

$-11\ \textless \ 3x-2 \ \textless \ 7\\ -11+2\ \textless \ 3x-2 +2\ \textless \ 7+2\\ -9\ \textless \ 3x \ \textless \ 9\\ -3\ \textless \ x\ \textless \ 3$