Номер 9.4 (1) пожалуйста

2 C^x_{10} \ ; " alt=" C^{x-1}_{10} > 2 C^x_{10} \ ; " align="absmiddle" class="latex-formula">

2 \cdot \frac{ 10! }{ x! (10-x)! } \ ; " alt=" \frac{ 10! }{ (x-1)! (11-x)! } > 2 \cdot \frac{ 10! }{ x! (10-x)! } \ ; " align="absmiddle" class="latex-formula">

2 (x-1)! (11-x)! \ ; " alt=" x! (10-x)! > 2 (x-1)! (11-x)! \ ; " align="absmiddle" class="latex-formula">

2 (x-1)! (11-x)! \ ; " alt=" (x-1)! x \cdot (10-x)! > 2 (x-1)! (11-x)! \ ; " align="absmiddle" class="latex-formula">

2 (1+10-x)! \ ; " alt=" x (10-x)! > 2 (1+10-x)! \ ; " align="absmiddle" class="latex-formula">

2 (10-x)! (1+10-x) \ ; " alt=" x (10-x)! > 2 (10-x)! (1+10-x) \ ; " align="absmiddle" class="latex-formula">

2 (11-x) \ ; " alt=" x > 2 (11-x) \ ; " align="absmiddle" class="latex-formula">

22 - 2x \ ; " alt=" x > 22 - 2x \ ; " align="absmiddle" class="latex-formula">

22 \ ; " alt=" 3 x > 22 \ ; " align="absmiddle" class="latex-formula">

\frac{22}{3} = 7 \frac{1}{3} \ ; " alt=" x > \frac{22}{3} = 7 \frac{1}{3} \ ; " align="absmiddle" class="latex-formula">

$x \geq 8 \ ;$

Ответ: $( x \geq 8 ) \cap ( x \leq 10 ) \cap N \$

или $x \in ( [ 8; 10 ] \cap N ) \$ или $x \in \{ 8, 9, 10 \} \ .$

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