Question

Розв'язати систему нерiвностей 2х+7<19 та 30-8х<6

Answer 1

2x + 7 < 19 
2x < 19 - 7
x < 12 
x < 6
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30 - 8x < 6 
8x > 30 - 6 
8x > 24 
x > 3 
Ответ ( 3 ; 6 )

Answer 2

$\left \{ {{2x+7\ \textless \ 19} \atop {30-8x\ \textless \ 6}} \right. \\\\ \left \{ {{2x\ \textless \ 12} \atop {-8x\ \textless \ -24}} \right. \\\\ \left \{ {{x\ \textless \ 6} \atop {x\ \textgreater \ 3}} \right.$
              ////////////////////////
_______₀___________₀___________
             3                      6
Ответ : x ∈ (3 ; 6)