[tex]\displaystyle\bf\\\left \{ {{(9 - x) {}^{2} - x(x - 7) > 4 } \atop { \frac{2x + 1}{6} - \frac{x - 4}{4} > 2 }} \right. \\ \\ 1) \: (9 - x) {}^{2} - x( x- 7) > 4 \\ 81 - 18x + {x}^{2} - {x}^{2} + 7x > 4 \\ - 11x > - 77 \: \: | \div ( - 11) \\ x < 7 \\ \\ 2) \: \frac{2x + 1}{6} - \frac{x - 4}{4} > 2 \: \: | \times 12 \\ 2(2x + 1) - 3(x - 4) > 24 \\ 4x + 2 - 3x + 12 > 24 \\ x > 10 \\ \displaystyle\bf\\3) \: \left \{ {{x < 7} \atop {x > 10 }} \right. \\ \\ x \: \epsilon\: \varnothing[/tex]
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[tex]\displaystyle\bf\\\left \{ {{(9 - x) {}^{2} - x(x - 7) > 4 } \atop { \frac{2x + 1}{6} - \frac{x - 4}{4} > 2 }} \right. \\ \\ 1) \: (9 - x) {}^{2} - x( x- 7) > 4 \\ 81 - 18x + {x}^{2} - {x}^{2} + 7x > 4 \\ - 11x > - 77 \: \: | \div ( - 11) \\ x < 7 \\ \\ 2) \: \frac{2x + 1}{6} - \frac{x - 4}{4} > 2 \: \: | \times 12 \\ 2(2x + 1) - 3(x - 4) > 24 \\ 4x + 2 - 3x + 12 > 24 \\ x > 10 \\ \displaystyle\bf\\3) \: \left \{ {{x < 7} \atop {x > 10 }} \right. \\ \\ x \: \epsilon\: \varnothing[/tex]