Ответ(ы) на вопрос:
Гость
1)
[latex]1 \leq \frac{5+x}{2} \ \textless \ 2.5[/latex]
[latex]1*2 \leq \frac{5+x}{2}*2 \ \textless \ 2.5*2[/latex]
[latex]2\leq 5+x \ \textless \ 5[/latex]
[latex]2-5\leq 5+x -5 \ \textless \ 5-5[/latex]
[latex]-3 \leq x \ \textless \ 0[/latex]
[latex][-3;0)[/latex]
2)
[latex]0 \ \textless \ \frac{2x+3}{5}\ \textless \ 1[/latex]
[latex]0*5 \ \textless \ \frac{2x+3}{5}*5\ \textless \ 1*5[/latex]
[latex]0 \ \textless \ 2x+3\ \textless \ 5[/latex]
[latex]0 -3\ \textless \ 2x+3-3\ \textless \ 5-3[/latex]
[latex]-3\ \textless \ 2x\ \textless \ 2[/latex]
[latex]\frac{-3}{2} \ \textless \ \frac{2x}{2}\ \textless \ \frac{2}{2}[/latex]
[latex]-1.5\ \textless \ x\ \textless \ 1[/latex]
[latex](-1.5;1)[/latex]
3)
[latex]2.15 \ \textless \ \frac{3x-1}{4}\ \textless \ 2.6[/latex]
[latex]2.15*4\ \textless \ \frac{3x-1}{4}*4\ \textless \ 2.6*4[/latex]
[latex]8.6\ \textless \ 3x-1\ \textless \ 10.4[/latex]
[latex]8.6+1\ \textless \ 3x-1+1\ \textless \ 10.4+1[/latex]
[latex]9.6\ \textless \ 3x\ \textless \ 11.4[/latex]
[latex]\frac{9.6}{3}\ \textless \ \frac{3x}{3}\ \textless \ \frac{11.4}{3}[/latex]
[latex]3.2\ \textless \ x\ \textless \ 3.8[/latex]
[latex](3.2;3.8)[/latex]
4)
[latex]-1 \ \textless \ \frac{3x-1}{4}\ \textless \ 2[/latex]
[latex]-1 *4\ \textless \ \frac{3x-1}{4}*4\ \textless \ 2*4[/latex]
[latex]-4\ \textless \ 3x-1 \textless \ 8[/latex]
[latex]-4+1\ \textless \ 3x-1+1 \textless \ 8+1[/latex]
[latex]-3\ \textless \ 3x \textless \ 9[/latex]
[latex]\frac{-3}{3}\ \textless \ \frac{3x}{3} \textless \ \frac{9}{3}[/latex]
[latex]-1\ \textless \ x \textless \ 3[/latex]
[latex](-1;3)[/latex]
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