Решите неравенство даю 10 баллов

[latex]25x^2-3|3-5x|\ \textless \ 30x-9[/latex] раскроем модуль [latex]3-5x=0 x=3/5=0.6 [/latex] [latex]x\ \textless \ 0.6: |3-5x|=3-5x x \geq 0.6: |3-5x|=5x-3[/latex] 1) x<0.6 [latex]25x^2-3(3-5x)\ \textless \ 30x-9[/latex] [latex]25x^2-9+15x-30x+9\ \textless \ 0[/latex] [latex]25x^2-15x\ \textless \ 0 [/latex] [latex]5x(5x-15)\ \textless \ 0 [/latex] ___+____0______-_____0.6____+__ x∈(0;0.6) 2) x≥0.6 [latex]25x^2-3(5x-3)\ \textless \ 30x-9[/latex] [latex]25x^2-15x+9-30x+9\ \textless \ 0[/latex] [latex]25x^2-45x+18\ \textless \ 0 D=2025-1800=225=15^2 x_1=1.2; x_2=0.6[/latex] _+___0.6_____-____1.2_____+___ x∈ [0.6; 1.2) Ответ (0; 1.2)