Question

Помогите решить линейные неравенства

Answer 1

1) {5x > 5

{3x > 3,3

___

{x > 1

{x > 1,1

Ответ: x ∈ (1,1; +∞)

2.

{x > 0

{5x > 5

___

{x > 0

{x > 1

Ответ: x ∈ (1; +∞)

3.

{x > 4

[ x < 3

нет корней

Answer 2

$1)\; \; \left \{ {{5x+3>8} \atop {0,7-3x<-2,6}} \right. \; \left \{ {{5x>5} \atop {3x>3,3}} \right. \; \left \{ {{x>1} \atop {x>1,1}} \right. \; \; \Rightarrow \; \; x>1,1\\\\2)\; \; \left \{ {{2x-3>x-3} \atop {4x+3>8-x}} \right. \; \left \{ {{x>0} \atop {5x>5}} \right. \; \left \{ {{x>0} \atop {x>1}} \right. \; \; \Rightarrow \; \; x>1$

$3)\; \; \left \{ {{x+4<2x} \atop {1-x>-2}} \right. \; \left \{ {{4<x} \atop {3>x}} \right. \; \left \{ {{x>4} \atop {x<3}} \right. \; \; \Rightarrow \; \; x\in \varnothing$