0\; \; \Rightarrow \; \; 7-|x+1|>0\; \; \Rightarrow \; \; |x+1|<7\; \; \Rightarrow \\\\-7<x+1<7\\\\-7-1<x<7-1\\\\-8<x<6\\\\\underline {x\in (-8;6)}" alt="y=7-|x+1|\\\\y>0\; \; \Rightarrow \; \; 7-|x+1|>0\; \; \Rightarrow \; \; |x+1|<7\; \; \Rightarrow \\\\-7<x+1<7\\\\-7-1<x<7-1\\\\-8<x<6\\\\\underline {x\in (-8;6)}" align="absmiddle" class="latex-formula">