hi, can anyone help me with this proof. it's over the bisection method in numerical analysis.

Denote the successive intervals that arise in the bisection method by $\displaystyle [a_{0},b_{0}], [a_{1},b_{1}], [a_{2},b_{2}] $, and so on.

Show that $\displaystyle a_{0} /leq a_{1} /leq a_{2} /leq ...$ and that $\displaystyle b_{0} /geq b_{1} /geq b_{2} /geq...$

I get why it does that but I don't know where to start on how to prove it. I've never been good at proving stuff. please help?

and sorry if this thread is in the wrong place. this was the only place i saw that might be ok since it said analysis..