\frac{9}{7} \\
(\frac{7}{9})^{2 x^{2} -3x}> (\frac{7}{9})^{-1} \\
2 x^{2} -3x<-1 \\
2 x^{2} -3x+1<0 \\
2(x-1)(x-0,5)<0 \\ " alt=" (\frac{7}{9})^{2 x^{2} -3x}> \frac{9}{7} \\
(\frac{7}{9})^{2 x^{2} -3x}> (\frac{7}{9})^{-1} \\
2 x^{2} -3x<-1 \\
2 x^{2} -3x+1<0 \\
2(x-1)(x-0,5)<0 \\ " align="absmiddle" class="latex-formula">
__+___0,5____-___1___+____
x∈(0,5;1)