Could you guys solve them and show me the solutions and all working so that I learn? This is another practice question and I have not been taught (I haven't been taught how to do it with 3 sides). I find that when I read the solution to a type of problem I understand how to do it so then I can do other problems like it. Thanks in advance.



For $x-1\ne0,(x-1)^2>0$



Now for $(x-a)(x-b)<0$ where $a<b; a<x<b$

Please follow the same method for $$-1<\dfrac{2x+3}{x-1}\iff0<\dfrac{2x+3}{x-1}+1=\dfrac{3x+2}{x-1}$$

  • $\begingroup$ what happened to -1< part? $\endgroup$ – jb3navides Aug 23 '15 at 4:31
  • $\begingroup$ @jb3navides, Can't you follow the same method? $\endgroup$ – lab bhattacharjee Aug 23 '15 at 4:31
  • $\begingroup$ Oh so we do it piece by piece thanks. $\endgroup$ – jb3navides Aug 23 '15 at 4:37

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