Use the given sets below to find the new set. Write the simplest version of the resulting set. For example (,5](2,6)\displaystyle {\left(-\infty,{5}\right]}\cup{\left(-{2},{6}\right)} should be written as (,6)\displaystyle {\left(-\infty,{6}\right)}. Be sure to record your answer using interval notation. If the intersection is empty, type DNE as the answer.

A=(10,3]\displaystyle {A}={\left(-{10},-{3}\right]} and B=[1,6)\displaystyle {B}={\left[-{1},{6}\right)}

AB=\displaystyle {A}\cup{B}=