Question

Помогите решить линейные неравенства

Answer 1

1. {2x > 2

{ x < 3

___

{x > 1

{x < 3

Ответ: x ∈ (1; 3)

2.

{2x > 8

{3x < 12

___

{x > 4

{x < 4

нет корней

3.

{x > 2

{x < 3

Ответ: x ∈ (2; 3)

Answer 2

$1); ; left { {{2x-1>1} atop {3-x>0}} right. ; left { {{2x>2} atop {3>x}} right. ; left { {{x>1} atop {x<3}} right. ; ; Rightarrow ; ; 1<x<3\\2); ; left { {{1-2x<-9} atop {3x+1<13}} right. ; left { {{-2x<-10} atop {3x<12}} right. ; left { {{x>5} atop {x<4}} right. ; ; Rightarrow ; ; xin varnothing$

$3); ; left { {{3x+7>9+2x} atop {5+x>2x+2}} right. ; left { {{3x-2x>9-7} atop {5-2>2x-x}} right. ; left { {{x>2} atop {3>x}} right. ; left { {{x>2} atop {x<3}} right. ; ; Rightarrow ; ; 2<x<3$