[tex]a)\\\\-(1-x)+2x=11-x \\\\- 1+x +2x=11-x\\\\-1+3x=11-x\\\\3x+x=11+1\\\\4x=12\ \ |:4\\\\x=3[/tex]
[tex]b)\\\\ x^2-3+4x=-1+(x+2)^2 \\\\x^2-3+4x=-1+ x^2+4x+4\\\\x^2-3+4x= x^2+4x+3\\\\x^2-x^2+4x-4x=3+3\\\\0=6\\\\rownanie\ sprzeczne,\ brak\ rozwiazania[/tex]
[tex]c)\\\\4x-7=3x+1 \\\\4x-3x=1+7\\\\x=8[/tex]
[tex]d)\\\\4x(x+2) \leq (1+2x)^2 \\\\4x^2+8x\leq 1+4x+4x^2\\\\ 4x^2+8x-4x^2-4x\leq 1\\\\4x\leq 1\ \ |:4\\\\x\leq \frac{1}{4}\\\\x\in(-\infty , \frac{1}{4}>[/tex]
[tex]e)\\\\3x+2<2x+5 \\\\3x-2x<5-2\\\\x<3\\\\x\in(-\infty ,3)[/tex]
[tex]f)\\\\ 3+\frac{ x-1}{2} >x \ \ |*2\\\\6+x-1>2x\\\\x-2x>1-6\\\\-x>-5\ \ |*(-1)\\\\x<5\\\\x\in(-\infty ,5)[/tex]
