помогите решить систему неравенств с параметром
[tex] \left \{ {{4x-5a\ \textgreater \ 6} \atop {6x+7a\ \textless \ 8}} \right. [/tex]
[tex] \left \{ {{4x-5a\ \textgreater \ 6} \atop {6x+7a\ \textless \ 8}} \right. [/tex]
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Verified answer
4x > 6 + 5a6x < 8 - 7a
x > (6 + 5a)/4
x < (8 - 7a)/6
(6 + 5a)/4 < x < (8 - 7a)/6
(6 + 5a)/4 < (8 - 7a)/6
18 + 15a < 16 - 14a
19a < - 2
a < - 2/19
При a < - 2/19 x ∈((6 + 5a)/4 ; (8 - 7a)/6)
при a ≥ - 2/19 решений нет