Решите неравенство: 1) 3-2(и-1) больше 8+и; 2) 5(и+2)+14 меньше 6-и; 3) 1/4(3+8и)больше или равно 6,25+и; 4)4(и+3) меньше 3(и+2); 5) 3(2и+1) больше 5(и-1); 6) 3/5(5и-2/3) меньше и+7,6;

1) [latex]3-2(u-1)\ \textgreater \ 8+u[/latex] [latex]3-2u+2\ \textgreater \ 8+u[/latex] [latex]5-2u\ \textgreater \ 8+u[/latex] [latex]-2u-u\ \textgreater \ 8-5[/latex] [latex]-3u\ \textgreater \ 3[/latex] [latex]u\ \textless \ -1[/latex] -------------(-1)----------------- ////////////// [latex]u[/latex] ∈ [latex](-[/latex] ∞ [latex];-1)[/latex] 2) [latex]5(u+2)+14\ \textless \ 6-u[/latex] [latex]5u+10+14\ \textless \ 6-u[/latex] [latex]5u+24\ \textless \ 6-u[/latex] [latex]5u+u\ \textless \ 6-24[/latex] [latex]6u\ \textless \ -18[/latex] [latex]u\ \textless \ -3[/latex] -------------(-3)----------------- ////////////// [latex]u[/latex] ∈ [latex](-[/latex] ∞ [latex];-3)[/latex] 3) [latex] \frac{1}{4} (3+8u) \geq 6,25+u[/latex] [latex] \frac{3}{4} +2u \geq 6 \frac{1}{4} +u[/latex] [latex]2u-u \geq 6 \frac{1}{4} - \frac{3}{4}[/latex] [latex]u \geq 5 \frac{1}{2} [/latex] ------------[5.5]-----------------                     ////////////////// [latex]u[/latex] ∈ [latex][5.5;+[/latex] ∞ [latex])[/latex] 4) [latex]4(u+3)\ \textless \ 3(u+2)[/latex] [latex]4u+12\ \textless \ 3u+6[/latex] [latex]4u-3u\ \textless \ 6-12[/latex] [latex]u\ \textless \ -6[/latex] -------------(-6)----------------- ////////////// [latex]u[/latex] ∈ [latex](-[/latex] ∞ [latex];-6)[/latex] 5) [latex]3(2u+1)\ \textgreater \ 5(u-1)[/latex] [latex]6u+3\ \textgreater \ 5u-5[/latex] [latex]6u-5u\ \textgreater \ -5-3[/latex] [latex]u\ \textgreater \ -8[/latex] ------------(-8)-----------------                     ////////////////// [latex]u[/latex] ∈ [latex](-8;+[/latex] ∞ [latex])[/latex] 6) [latex] \frac{3}{5} (5u- \frac{2}{3} )\ \textless \ u+7,6[/latex] [latex]3u- \frac{2}{5}\ \textless \ u+7,6[/latex] [latex]3u- 0.4\ \textless \ u+7,6[/latex] [latex]3u-u\ \textless \ 7,6+0.4[/latex] [latex]2u\ \textless \ 8[/latex] [latex]u\ \textless \ 4[/latex] -------------(4)----------------- ////////////// [latex]u[/latex] ∈ [latex](-[/latex] ∞ [latex];4)[/latex]

1) 3-2и+2>8+и 3и<-3 и<-1 2) 5и+10+14<6-и 6и<-18 и<-3 3) 3/4+2и>=6,25+и и>=5,5 4) 4и+12<3и+6 и<-6 5) 6и+3>5и-5 и>-8 6) 3и-2/5<и+7,6 2и<8 и<4