Answer:
[tex]Given~inequality~is\\2(x-3) -5x<x-2\\or, 2x-6-5x<x-2\\or, -3x-6<x-2\\Subtracting~x~on~both~sides,\\-3x-x-6<x-x-2\\or, -4x-6<-2\\Adding~'6'~on~both~sides,\\-4x-6+6<-2+6\\or, -4x<4\\Dividing~'-4'~on~both~sides,\\\frac{-4x}{-4}>\frac{4}{-4} \\[Sign ~of~ inequality ~is~ reversed ~on ~dividing~ on~multiplying ~both ~sides~ by~ a~ negative~ number]\\or, x>-1 \\[/tex]
So, the required answer is C. [Look at the screenshot]
