[tex]b)\\\\3|x-1| \geq 4 \ \ |:3\\\\|x-1|\geq \frac{4}{3}\\\\ x-1\geq \frac{4}{3}\ \ \ lub\ \ \ \ x-1 \leq - \frac{4}{3}\\\\x\geq \frac{4}{3}+1\ \ \ lub\ \ x \leq - \frac{4}{3}+1\\\\ x\geq 1\frac{1}{3}+1\ \ \ lub \ \ \ \ x \leq -1\frac{1}{3}+1\\\\ x\geq 2\frac{1}{3}\ \ \ lub\ \ \ x \leq -\frac{1}{3} \\\\x\in \left( -\infty ;\ -\frac{1}{3} \right \rangle \cup \left \langle 2\frac{1}{3};\infty \right )[/tex]
[tex]a)\\\\|2x+4|-2<7\\\\|2x+4| <7+2\\\\|2x+4|<9\\\\2x+4<9\ \ \ i\ \ \ 2x+4>-9\\\\2x <9-4\ \ \ i\ \ \ 2x >-9-4\\\\2x <5\ \ \ i\ \ \ 2x >-13\\\\ x <\frac{5}{2}\ \ \ i\ \ \ x >-\frac{13 }{2} \\\\x\in(-\frac{13}{2},\frac{5}{2})[/tex]
