[tex]1)2 {x}^{2} - 6x + 4 = 0 \: | \div 2[/tex]
[tex] {x}^{2} - 3x + 2 = 0[/tex]
[tex] {x}^{2} - x - 2x + 2 = 0[/tex]
[tex]x(x - 1) - 2(x - 1) = 0[/tex]
[tex](x - 1)(x - 2) = 0[/tex]
[tex]x - 1 = 0 = > x_{1} = 1[/tex]
[tex]x - 2 = 0 = > x_{2} = 2[/tex]
[tex]2) {x}^{2} + 5x - 14 = 0[/tex]
[tex] {x}^{2} + 7x - 2x - 14 = 0[/tex]
[tex]x(x + 7) - 2(x + 7) = 0[/tex]
[tex](x + 7)(x - 2) = 0[/tex]
[tex]x + 7 = 0 = > x_{1} = - 7[/tex]
[tex]x - 2 = 0 = > x_{2} = 2[/tex]
[tex]3)3x - 5 < 0[/tex]
[tex]3x < 5[/tex]
[tex]x < \frac{5}{3} [/tex]
[tex]x \: \in \: ( - \infty , \frac{5}{3} )[/tex]
