Lgx+2lg2 меньше 0,5lg49-lg5

[latex]lgx + lg 2^{2} \ \textless \ lg 49^{ \frac{1}{2} } - lg5 \\ lgx + lg4\ \textless \ lg7 - lg5 \\ lg4x\ \textless \ lg \frac{7}{5} \\ \left \{ {{4x\ \textgreater \ 0} \atop {4x\ \textless \ \frac{7}{5} }} \right. \left \{ {{x\ \textgreater \ 0} \atop {x\ \textless \ \frac{7}{20} }} \right. \\ [/latex] x∈ (0;7/20)