Recall that:
[tex]|a|=\begin{cases}a{\text{ if }a\geq0} \\ -a\text{ if }a<0\end{cases}.[/tex]Therefore:
[tex]|-9|=9=|9|.[/tex]Therefore the inequality:
[tex]|-9|<|9|[/tex]is not true.
Now, notice that:
[tex]\begin{gathered} -2^2=-4<0<3, \\ 0-7=-7\leq-5, \end{gathered}[/tex]Therefore the second and third inequalities are true.
Finally, notice that:
[tex]1-11=-10<0.[/tex]Therefore the last inequality is not true.
Answer: First and last inequalities.
