I have the following two inequalities: $$\begin{align*} 8x &\gt 12y\\ 12y &\gt 15z \end{align*}$$ Now the book states that we need to line up the inequalities as such $$\begin{array}{rcccccl} 0 &<& 15z\\ && 15z &<& 12y\\ & & & & 12y &<& 8x\\ \end{array}$$ Hence we get $$ 0 < 15z < 12y < 8x $$
Now my question is how did the book get the following $$\begin{array}{rcccccl} 0 &<& 15z\\ && 15z &<& 12y\\ && && 12y &<& 8x \end{array}$$