To graph the inequality we need to solve it first:
[tex]\begin{gathered} -7x-7>0\text{ or -2x+5}\leq1 \\ -7>7x\text{ or 5-1}\leq2x \\ -\frac{7}{7}>x\text{ or }\frac{4}{2}\leq x \\ -1>x\text{ or 2}\leq x \end{gathered}[/tex]This means that:
[tex]x<-1\text{ or x}\ge2[/tex]In interval, notation this is written as:
[tex](-\infty,-1)\cup\lbrack2,\infty)[/tex]The graph of the inequality is: