Question

помогите
пожалуйста с решением

Answer 1

$left { {{ x^{2} -14x+13 textgreater 0} atop { x^{2} -18x+45 textless 0}} right.$

$left { {{(x-13)(x-1) textgreater 0} atop {(x-15)(x-3) textless 0}} right.$

1)
      +                    -                         +
________₀___________₀______________
                1                     13
x ∈ (- ∞ ; 1)∪(13 ,+∞)
2)
      +                    -                           +
________₀____________₀______________
                3                       15
x ∈ ( 3 ; 15)
Окончательный ответ:
 \\\\\\\\\\                                         ///////////////////////////////////////////////
__________₀_________₀___________₀___________₀___________
                    1                 3                      13                   15
                                       |||||||||||||||||||||||||||||||||||||||||||||||||||||
x ∈ (13 ; 15)

2) $left { {{ frac{x-1}{2}*6- frac{2x+3}{3}*6+ frac{x}{6}*6 textless 2*6- frac{x+5}{2}*6 } atop {1*8- frac{x-5}{8}*8+ frac{4-x}{2}*8 textless 3x*8- frac{x+1}{4}*8 }} right.$

$left { {{3x-3-4x-6+x textless 12-3x-15} atop {8-x-5+16-4x textless 24x-2x-2}} right.$

$left { {{3x textless 6} atop {-27x textless -21}} right.$

$left { {{x textless 2} atop {x textgreater frac{7}{9}}} right.$
Ответ: x ∈ (7/9 , 2)