SSC CHSL 8 Jan 2017 Shift 3 Paper

Expression 1 :
⇒
⇒ $5\mathit{x}>6-9\mathit{x}$
⇒ $5\mathit{x}+9\mathit{x}>6$
⇒ $\mathit{x}>\frac{3}{7}$ ----(i)
Expression 2 : $2\mathit{x}+3\left(5-2\mathit{x}\right)>2-3\mathit{x}$
⇒ $2\mathit{x}+15-6\mathit{x}>2-3\mathit{x}$
⇒
⇒ ------(ii)
Combining inequalities (i) and (ii), we get : $\frac{3}{7}$<$\mathit{x}$<$13$
Thus, the values that can take = 1 , 2 , 3,...,12