Question

Помогите! Я 2 часа голову ломаю! Вы можете мне помочь?!
55

Answer 1

1) $left { {{3(x-1) textless x-3} atop {5(x+3) textgreater 2x+3}} right.$
   $left { {{3x-3 textless x-3} atop {5x+15 textgreater 2x+3}} right.$
   $left { {{3x textless x} atop {5x-2x textgreater 3-15}} right.$
   $left { {{3x-x textless 0} atop {3x textgreater -12}} right.$
   $left { {{2x textless 0} atop {x textgreater -4}} right.$
   $left { {{x textless 0} atop {x textgreater -4}} right.$
   $x$∈$(-4, 0)$
2) $left { {{2(y-2) textless 3y+1} atop {5(y+1) textgreater 4y+3}} right.$
    $left { {{2y-4 textless 3y+1} atop {5y+5 textgreater 4y+3}} right.$
    $left { {{2y-3y textless 1+4} atop {5y-4y textgreater 3-5}} right.$
    $left { {{-y textless 5} atop {y textgreater -2}} right.$
    $left { {{y textgreater -5} atop {y textgreater -2}} right.$
    $y$∈$(-2, +$∞$)$
3) $left { {{3(2y-3) leq y+1} atop {4(3y+1) leq 5y-10}} right.$
    $left { {{6y-9 leq y+6} atop {12y+4 geq 5y-10}} right.$
    $left { {{5y-y leq 6+9} atop {12y-5y geq -10-4}} right.$
    $left { {{5y leq 15} atop {7y geq -14}} right.$
    $left { {{y leq 3} atop {y geq -2}} right.$
    $y$∈$[-2, 3]$
4) $left { {{2(3x+2) textgreater 5(x-1)} atop {7(x+2) textless 3(2x+3)}} right.$
    $left { {{6x+4 textgreater 5x-5} atop {7x+14 textless 6x+9}} right.$
    $left { {{6x-5x textgreater -5-4} atop {7x-6x textless 9-14}} right.$
    $left { {{x textgreater -9} atop {x textless -5}} right.$
    $x$∈$(-9, -5)$