Question
Solve : $15 – 2(2x – 1) < 15, x \in Z.$
✓
Answer
$ 15-2(2 x-1)<15, x \in Z$
$ \Rightarrow 15-4 x+2<15$
$ \Rightarrow 17-4 x<15$
$ \Rightarrow-4 x<15-17$
$ \Rightarrow-4 x<-2$
$ \Rightarrow \frac{-4}{-4} x>\frac{-2}{-4}=\frac{1}{2} ($Dividing by $-4)$
$ \therefore x=1,2,3,4,5, \ldots . .$
$ \therefore$ Solution set $=\{1,2,3,4,5, \ldots\}$
$ \Rightarrow 15-4 x+2<15$
$ \Rightarrow 17-4 x<15$
$ \Rightarrow-4 x<15-17$
$ \Rightarrow-4 x<-2$
$ \Rightarrow \frac{-4}{-4} x>\frac{-2}{-4}=\frac{1}{2} ($Dividing by $-4)$
$ \therefore x=1,2,3,4,5, \ldots . .$
$ \therefore$ Solution set $=\{1,2,3,4,5, \ldots\}$
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