\[\boxed{\text{4.\ 184}}\]
\[1)\ a > 0;\ \ b > 0.\]
\[\textbf{а)} - a < b\]
\[\textbf{б)}\ b > - a\]
\[\textbf{в)}\ 0 < a\]
\[\textbf{г)} - b < 0\]
\[\textbf{д)}\ |b| = b\]
\[\textbf{е)}\ |a| > - a\]
\[\textbf{ж)} - a < |b|\]
\[\textbf{з)}\ | - a| > - b\]
\[2)\ а)\ x = 9:\]
\[2x - |3x + 2| =\]
\[= 2 \cdot 9 - |3 \cdot 9 + 2| = 18 - 29 =\]
\[= - 11.\ \]
\[\textbf{б)}\ x = 3:\]
\[4x - |5 + 6x| =\]
\[= 4 \cdot 3 - |5 + 6 \cdot 3| = 12 - 23 =\]
\[= - 11.\ \]