Question

Решите пожалуйста 35 балов

Answer 1

1)  $\left \{ {{5x-3>3x+1} \atop {3x+2<-x+13}} \right. =>\left \{ {{5x-3x>3+1} \atop {3x+x<-2+13}} \right.=> \left \{ {{2x>4} \atop {4x<11}} \right. => \left \{ {{x>2} \atop {x<2,75}} \right.=>2<x<2,75$

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Ответ:  $(2;2,75)$

2)   $\left \{ {{2x+11>5x-4} \atop {5x+6<x-2}} \right. =>\left \{ {{2x-5x>-11-4} \atop {5x-x<-6-2}} \right. =>\left \{ {{-3x>-15} \atop {4x<-8}} \right. =>\left \{ {{3x<15} \atop {x<-2}} \right. =>\left \{ {{x<5} \atop {x<-2}} \right.$

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$=>$   $x<-2$

Ответ:  $(- \infty};-2)$

3)  $\left \{ {{7x-9>5x+1} \atop {4x-3<x-6}} \right.=> \left \{ {{7x-5x>9+1} \atop {4x-x<3-6}} \right.=> \left \{ {{2x>10} \atop {3x<-3}} \right. =>\left \{ {{x>5} \atop {x<-1}} \right.=>{$

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                                            {∅}

Ответ:   {∅}

4)  $\left \{ {{2x-1>\frac{2x+3}{2} } \atop {\frac{2x+5}{5} >x-2}} \right. =>\left \{ {{2*(2x-1)>2*\frac{2x+3}{2} } \atop {5*\frac{2x+5}{5} >5*(x-2)}} \right. =>\left \{ {{4x-2>2x+3} \atop {2x+5>5x-10}} \right.=> \left \{ {{2x>5} \atop {-3x>-15}} \right.=>$

   $=>\left \{ {{x>2,5} \atop {x<5}} \right. =>2,5<x<5$

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Ответ: (2,5;  5)